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Finding the Fourth Proportional to 8,234.47, 12,354.02 and 3,307.57

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Solution

The fourth proportional to 8,234.47, 12,354.02 and 3,307.57 is: 4,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.47 : 12,354.02 = 3,307.57 : x
  2. Step 2: Convert to fraction form
    8,234.47/12,354.02 = 3,307.57/x
  3. Step 3: Cross multiply
    8,234.47x = 12,354.02 × 3,307.57
  4. Step 4: Simplify right side
    8,234.47x = 40,861,785.93
  5. Step 5: Solve for x
    x = 40,861,785.93/8,234.47
  6. Step 6: Final answer
    x = 4,962.28

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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.