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Finding the Fourth Proportional to 8,577.62, 12,854.79 and 3,641.07

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Solution

The fourth proportional to 8,577.62, 12,854.79 and 3,641.07 is: 5,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.62 : 12,854.79 = 3,641.07 : x
  2. Step 2: Convert to fraction form
    8,577.62/12,854.79 = 3,641.07/x
  3. Step 3: Cross multiply
    8,577.62x = 12,854.79 × 3,641.07
  4. Step 4: Simplify right side
    8,577.62x = 46,805,190.23
  5. Step 5: Solve for x
    x = 46,805,190.23/8,577.62
  6. Step 6: Final answer
    x = 5,456.66

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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.