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Finding the Fourth Proportional to 8,560.13, 12,842.82 and 7,677.05

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Solution

The fourth proportional to 8,560.13, 12,842.82 and 7,677.05 is: 11,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,560.13 : 12,842.82 = 7,677.05 : x
  2. Step 2: Convert to fraction form
    8,560.13/12,842.82 = 7,677.05/x
  3. Step 3: Cross multiply
    8,560.13x = 12,842.82 × 7,677.05
  4. Step 4: Simplify right side
    8,560.13x = 98,594,907.07
  5. Step 5: Solve for x
    x = 98,594,907.07/8,560.13
  6. Step 6: Final answer
    x = 11,517.93

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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.