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Finding the Fourth Proportional to 10,099.61, 15,150.41 and 3,864.86

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Solution

The fourth proportional to 10,099.61, 15,150.41 and 3,864.86 is: 5,797.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.61 : 15,150.41 = 3,864.86 : x
  2. Step 2: Convert to fraction form
    10,099.61/15,150.41 = 3,864.86/x
  3. Step 3: Cross multiply
    10,099.61x = 15,150.41 × 3,864.86
  4. Step 4: Simplify right side
    10,099.61x = 58,554,118.52
  5. Step 5: Solve for x
    x = 58,554,118.52/10,099.61
  6. Step 6: Final answer
    x = 5,797.66

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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.