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Finding the Fourth Proportional to 10,864.87, 15,000.49 and 7,467.53

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Solution

The fourth proportional to 10,864.87, 15,000.49 and 7,467.53 is: 10,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.87 : 15,000.49 = 7,467.53 : x
  2. Step 2: Convert to fraction form
    10,864.87/15,000.49 = 7,467.53/x
  3. Step 3: Cross multiply
    10,864.87x = 15,000.49 × 7,467.53
  4. Step 4: Simplify right side
    10,864.87x = 112,016,543.42
  5. Step 5: Solve for x
    x = 112,016,543.42/10,864.87
  6. Step 6: Final answer
    x = 10,309.98

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