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Finding the Fourth Proportional to 10,536.04, 15,769.50 and 9,384.04

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Solution

The fourth proportional to 10,536.04, 15,769.50 and 9,384.04 is: 14,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.04 : 15,769.50 = 9,384.04 : x
  2. Step 2: Convert to fraction form
    10,536.04/15,769.50 = 9,384.04/x
  3. Step 3: Cross multiply
    10,536.04x = 15,769.50 × 9,384.04
  4. Step 4: Simplify right side
    10,536.04x = 147,981,618.78
  5. Step 5: Solve for x
    x = 147,981,618.78/10,536.04
  6. Step 6: Final answer
    x = 14,045.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.