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Finding the Fourth Proportional to 8,585.80, 12,877.08 and 4,200.52

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Solution

The fourth proportional to 8,585.80, 12,877.08 and 4,200.52 is: 6,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.80 : 12,877.08 = 4,200.52 : x
  2. Step 2: Convert to fraction form
    8,585.80/12,877.08 = 4,200.52/x
  3. Step 3: Cross multiply
    8,585.80x = 12,877.08 × 4,200.52
  4. Step 4: Simplify right side
    8,585.80x = 54,090,432.08
  5. Step 5: Solve for x
    x = 54,090,432.08/8,585.80
  6. Step 6: Final answer
    x = 6,299.99

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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.