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Finding the Fourth Proportional to 8,569.80, 12,853.83 and 5,814.18

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Solution

The fourth proportional to 8,569.80, 12,853.83 and 5,814.18 is: 8,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.80 : 12,853.83 = 5,814.18 : x
  2. Step 2: Convert to fraction form
    8,569.80/12,853.83 = 5,814.18/x
  3. Step 3: Cross multiply
    8,569.80x = 12,853.83 × 5,814.18
  4. Step 4: Simplify right side
    8,569.80x = 74,734,481.31
  5. Step 5: Solve for x
    x = 74,734,481.31/8,569.80
  6. Step 6: Final answer
    x = 8,720.68

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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.