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Finding the Fourth Proportional to 8,658.09, 11,952.96 and 5,678.31

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Solution

The fourth proportional to 8,658.09, 11,952.96 and 5,678.31 is: 7,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.09 : 11,952.96 = 5,678.31 : x
  2. Step 2: Convert to fraction form
    8,658.09/11,952.96 = 5,678.31/x
  3. Step 3: Cross multiply
    8,658.09x = 11,952.96 × 5,678.31
  4. Step 4: Simplify right side
    8,658.09x = 67,872,612.30
  5. Step 5: Solve for x
    x = 67,872,612.30/8,658.09
  6. Step 6: Final answer
    x = 7,839.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.