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Finding the Fourth Proportional to 10,499.52, 15,737.76 and 5,016

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Solution

The fourth proportional to 10,499.52, 15,737.76 and 5,016 is: 7,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.52 : 15,737.76 = 5,016 : x
  2. Step 2: Convert to fraction form
    10,499.52/15,737.76 = 5,016/x
  3. Step 3: Cross multiply
    10,499.52x = 15,737.76 × 5,016
  4. Step 4: Simplify right side
    10,499.52x = 78,940,604.16
  5. Step 5: Solve for x
    x = 78,940,604.16/10,499.52
  6. Step 6: Final answer
    x = 7,518.50

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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.