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Finding the Fourth Proportional to 7,607.86, 11,411.79 and 4,276.33

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Solution

The fourth proportional to 7,607.86, 11,411.79 and 4,276.33 is: 6,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.86 : 11,411.79 = 4,276.33 : x
  2. Step 2: Convert to fraction form
    7,607.86/11,411.79 = 4,276.33/x
  3. Step 3: Cross multiply
    7,607.86x = 11,411.79 × 4,276.33
  4. Step 4: Simplify right side
    7,607.86x = 48,800,579.93
  5. Step 5: Solve for x
    x = 48,800,579.93/7,607.86
  6. Step 6: Final answer
    x = 6,414.50

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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.