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Finding the Fourth Proportional to 7,712.70, 11,574.45 and 4,946.10

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Solution

The fourth proportional to 7,712.70, 11,574.45 and 4,946.10 is: 7,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.70 : 11,574.45 = 4,946.10 : x
  2. Step 2: Convert to fraction form
    7,712.70/11,574.45 = 4,946.10/x
  3. Step 3: Cross multiply
    7,712.70x = 11,574.45 × 4,946.10
  4. Step 4: Simplify right side
    7,712.70x = 57,248,387.15
  5. Step 5: Solve for x
    x = 57,248,387.15/7,712.70
  6. Step 6: Final answer
    x = 7,422.61

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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.