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Finding the Fourth Proportional to 8,780.49, 12,125.16 and 5,642.15

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Solution

The fourth proportional to 8,780.49, 12,125.16 and 5,642.15 is: 7,791.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,780.49 : 12,125.16 = 5,642.15 : x
  2. Step 2: Convert to fraction form
    8,780.49/12,125.16 = 5,642.15/x
  3. Step 3: Cross multiply
    8,780.49x = 12,125.16 × 5,642.15
  4. Step 4: Simplify right side
    8,780.49x = 68,411,910.87
  5. Step 5: Solve for x
    x = 68,411,910.87/8,780.49
  6. Step 6: Final answer
    x = 7,791.35

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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.