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Finding the Fourth Proportional to 10,174.12, 15,239.24 and 6,869.04

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Solution

The fourth proportional to 10,174.12, 15,239.24 and 6,869.04 is: 10,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.12 : 15,239.24 = 6,869.04 : x
  2. Step 2: Convert to fraction form
    10,174.12/15,239.24 = 6,869.04/x
  3. Step 3: Cross multiply
    10,174.12x = 15,239.24 × 6,869.04
  4. Step 4: Simplify right side
    10,174.12x = 104,678,949.13
  5. Step 5: Solve for x
    x = 104,678,949.13/10,174.12
  6. Step 6: Final answer
    x = 10,288.75

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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.