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Finding the Fourth Proportional to 10,099.63, 15,149.29 and 3,174.13

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Solution

The fourth proportional to 10,099.63, 15,149.29 and 3,174.13 is: 4,761.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.63 : 15,149.29 = 3,174.13 : x
  2. Step 2: Convert to fraction form
    10,099.63/15,149.29 = 3,174.13/x
  3. Step 3: Cross multiply
    10,099.63x = 15,149.29 × 3,174.13
  4. Step 4: Simplify right side
    10,099.63x = 48,085,800.00
  5. Step 5: Solve for x
    x = 48,085,800.00/10,099.63
  6. Step 6: Final answer
    x = 4,761.14

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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.