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Finding the Fourth Proportional to 10,099.92, 15,156.19 and 3,860.46

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Solution

The fourth proportional to 10,099.92, 15,156.19 and 3,860.46 is: 5,793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.92 : 15,156.19 = 3,860.46 : x
  2. Step 2: Convert to fraction form
    10,099.92/15,156.19 = 3,860.46/x
  3. Step 3: Cross multiply
    10,099.92x = 15,156.19 × 3,860.46
  4. Step 4: Simplify right side
    10,099.92x = 58,509,865.25
  5. Step 5: Solve for x
    x = 58,509,865.25/10,099.92
  6. Step 6: Final answer
    x = 5,793.10

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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.