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Finding the Fourth Proportional to 10,125.46, 15,174.10 and 5,184.69

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Solution

The fourth proportional to 10,125.46, 15,174.10 and 5,184.69 is: 7,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.46 : 15,174.10 = 5,184.69 : x
  2. Step 2: Convert to fraction form
    10,125.46/15,174.10 = 5,184.69/x
  3. Step 3: Cross multiply
    10,125.46x = 15,174.10 × 5,184.69
  4. Step 4: Simplify right side
    10,125.46x = 78,673,004.53
  5. Step 5: Solve for x
    x = 78,673,004.53/10,125.46
  6. Step 6: Final answer
    x = 7,769.82

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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.