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Finding the Fourth Proportional to 10,077.92, 15,100.16 and 6,174.12

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Solution

The fourth proportional to 10,077.92, 15,100.16 and 6,174.12 is: 9,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.92 : 15,100.16 = 6,174.12 : x
  2. Step 2: Convert to fraction form
    10,077.92/15,100.16 = 6,174.12/x
  3. Step 3: Cross multiply
    10,077.92x = 15,100.16 × 6,174.12
  4. Step 4: Simplify right side
    10,077.92x = 93,230,199.86
  5. Step 5: Solve for x
    x = 93,230,199.86/10,077.92
  6. Step 6: Final answer
    x = 9,250.94

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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.