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Finding the Fourth Proportional to 8,429.01, 12,643.04 and 2,585.61

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Solution

The fourth proportional to 8,429.01, 12,643.04 and 2,585.61 is: 3,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.01 : 12,643.04 = 2,585.61 : x
  2. Step 2: Convert to fraction form
    8,429.01/12,643.04 = 2,585.61/x
  3. Step 3: Cross multiply
    8,429.01x = 12,643.04 × 2,585.61
  4. Step 4: Simplify right side
    8,429.01x = 32,689,957.73
  5. Step 5: Solve for x
    x = 32,689,957.73/8,429.01
  6. Step 6: Final answer
    x = 3,878.27

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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.