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Finding the Fourth Proportional to 11,472.57, 15,830.24 and 7,702.02

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Solution

The fourth proportional to 11,472.57, 15,830.24 and 7,702.02 is: 10,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.57 : 15,830.24 = 7,702.02 : x
  2. Step 2: Convert to fraction form
    11,472.57/15,830.24 = 7,702.02/x
  3. Step 3: Cross multiply
    11,472.57x = 15,830.24 × 7,702.02
  4. Step 4: Simplify right side
    11,472.57x = 121,924,786.57
  5. Step 5: Solve for x
    x = 121,924,786.57/11,472.57
  6. Step 6: Final answer
    x = 10,627.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.