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Finding the Fourth Proportional to 8,457.31, 12,686.82 and 4,952.62

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Solution

The fourth proportional to 8,457.31, 12,686.82 and 4,952.62 is: 7,429.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.31 : 12,686.82 = 4,952.62 : x
  2. Step 2: Convert to fraction form
    8,457.31/12,686.82 = 4,952.62/x
  3. Step 3: Cross multiply
    8,457.31x = 12,686.82 × 4,952.62
  4. Step 4: Simplify right side
    8,457.31x = 62,832,998.47
  5. Step 5: Solve for x
    x = 62,832,998.47/8,457.31
  6. Step 6: Final answer
    x = 7,429.43

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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.