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Finding the Fourth Proportional to 8,429.29, 12,637.86 and 2,582.71

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Solution

The fourth proportional to 8,429.29, 12,637.86 and 2,582.71 is: 3,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.29 : 12,637.86 = 2,582.71 : x
  2. Step 2: Convert to fraction form
    8,429.29/12,637.86 = 2,582.71/x
  3. Step 3: Cross multiply
    8,429.29x = 12,637.86 × 2,582.71
  4. Step 4: Simplify right side
    8,429.29x = 32,639,927.40
  5. Step 5: Solve for x
    x = 32,639,927.40/8,429.29
  6. Step 6: Final answer
    x = 3,872.20

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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.