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Finding the Fourth Proportional to 8,437, 12,656.13 and 3,242.92

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Solution

The fourth proportional to 8,437, 12,656.13 and 3,242.92 is: 4,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437 : 12,656.13 = 3,242.92 : x
  2. Step 2: Convert to fraction form
    8,437/12,656.13 = 3,242.92/x
  3. Step 3: Cross multiply
    8,437x = 12,656.13 × 3,242.92
  4. Step 4: Simplify right side
    8,437x = 41,042,817.10
  5. Step 5: Solve for x
    x = 41,042,817.10/8,437
  6. Step 6: Final answer
    x = 4,864.62

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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.