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Finding the Fourth Proportional to 8,585.64, 12,878.46 and 4,687.92

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Solution

The fourth proportional to 8,585.64, 12,878.46 and 4,687.92 is: 7,031.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.64 : 12,878.46 = 4,687.92 : x
  2. Step 2: Convert to fraction form
    8,585.64/12,878.46 = 4,687.92/x
  3. Step 3: Cross multiply
    8,585.64x = 12,878.46 × 4,687.92
  4. Step 4: Simplify right side
    8,585.64x = 60,373,190.20
  5. Step 5: Solve for x
    x = 60,373,190.20/8,585.64
  6. Step 6: Final answer
    x = 7,031.88

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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.