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Finding the Fourth Proportional to 8,589.66, 11,847.60 and 7,883.79

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Solution

The fourth proportional to 8,589.66, 11,847.60 and 7,883.79 is: 10,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.66 : 11,847.60 = 7,883.79 : x
  2. Step 2: Convert to fraction form
    8,589.66/11,847.60 = 7,883.79/x
  3. Step 3: Cross multiply
    8,589.66x = 11,847.60 × 7,883.79
  4. Step 4: Simplify right side
    8,589.66x = 93,403,990.40
  5. Step 5: Solve for x
    x = 93,403,990.40/8,589.66
  6. Step 6: Final answer
    x = 10,874.00

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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.