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Finding the Fourth Proportional to 11,566.18, 15,957.38 and 7,531.16

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Solution

The fourth proportional to 11,566.18, 15,957.38 and 7,531.16 is: 10,390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,566.18 : 15,957.38 = 7,531.16 : x
  2. Step 2: Convert to fraction form
    11,566.18/15,957.38 = 7,531.16/x
  3. Step 3: Cross multiply
    11,566.18x = 15,957.38 × 7,531.16
  4. Step 4: Simplify right side
    11,566.18x = 120,177,581.96
  5. Step 5: Solve for x
    x = 120,177,581.96/11,566.18
  6. Step 6: Final answer
    x = 10,390.43

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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.