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Finding the Fourth Proportional to 10,232.55, 15,344.10 and 3,658.86

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Solution

The fourth proportional to 10,232.55, 15,344.10 and 3,658.86 is: 5,486.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.55 : 15,344.10 = 3,658.86 : x
  2. Step 2: Convert to fraction form
    10,232.55/15,344.10 = 3,658.86/x
  3. Step 3: Cross multiply
    10,232.55x = 15,344.10 × 3,658.86
  4. Step 4: Simplify right side
    10,232.55x = 56,141,913.73
  5. Step 5: Solve for x
    x = 56,141,913.73/10,232.55
  6. Step 6: Final answer
    x = 5,486.60

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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.