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Finding the Fourth Proportional to 8,585.19, 12,843.90 and 6,511.05

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Solution

The fourth proportional to 8,585.19, 12,843.90 and 6,511.05 is: 9,740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.19 : 12,843.90 = 6,511.05 : x
  2. Step 2: Convert to fraction form
    8,585.19/12,843.90 = 6,511.05/x
  3. Step 3: Cross multiply
    8,585.19x = 12,843.90 × 6,511.05
  4. Step 4: Simplify right side
    8,585.19x = 83,627,275.10
  5. Step 5: Solve for x
    x = 83,627,275.10/8,585.19
  6. Step 6: Final answer
    x = 9,740.88

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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.