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Finding the Fourth Proportional to 11,487.54, 15,854.54 and 7,013.90

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Solution

The fourth proportional to 11,487.54, 15,854.54 and 7,013.90 is: 9,680.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.54 : 15,854.54 = 7,013.90 : x
  2. Step 2: Convert to fraction form
    11,487.54/15,854.54 = 7,013.90/x
  3. Step 3: Cross multiply
    11,487.54x = 15,854.54 × 7,013.90
  4. Step 4: Simplify right side
    11,487.54x = 111,202,158.11
  5. Step 5: Solve for x
    x = 111,202,158.11/11,487.54
  6. Step 6: Final answer
    x = 9,680.24

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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.