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Finding the Fourth Proportional to 7,726,468.40, 11,594,951.40 and 4,314,748.40

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Solution

The fourth proportional to 7,726,468.40, 11,594,951.40 and 4,314,748.40 is: 6,475,053.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726,468.40 : 11,594,951.40 = 4,314,748.40 : x
  2. Step 2: Convert to fraction form
    7,726,468.40/11,594,951.40 = 4,314,748.40/x
  3. Step 3: Cross multiply
    7,726,468.40x = 11,594,951.40 × 4,314,748.40
  4. Step 4: Simplify right side
    7,726,468.40x = 50,029,298,001,227.77
  5. Step 5: Solve for x
    x = 50,029,298,001,227.77/7,726,468.40
  6. Step 6: Final answer
    x = 6,475,053.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.