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Finding the Fourth Proportional to 8,264.80, 12,397.58 and 2,342.13

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Solution

The fourth proportional to 8,264.80, 12,397.58 and 2,342.13 is: 3,513.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.80 : 12,397.58 = 2,342.13 : x
  2. Step 2: Convert to fraction form
    8,264.80/12,397.58 = 2,342.13/x
  3. Step 3: Cross multiply
    8,264.80x = 12,397.58 × 2,342.13
  4. Step 4: Simplify right side
    8,264.80x = 29,036,744.05
  5. Step 5: Solve for x
    x = 29,036,744.05/8,264.80
  6. Step 6: Final answer
    x = 3,513.30

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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.