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Finding the Fourth Proportional to 8,417.71, 12,626.57 and 2,574.27

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Solution

The fourth proportional to 8,417.71, 12,626.57 and 2,574.27 is: 3,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.71 : 12,626.57 = 2,574.27 : x
  2. Step 2: Convert to fraction form
    8,417.71/12,626.57 = 2,574.27/x
  3. Step 3: Cross multiply
    8,417.71x = 12,626.57 × 2,574.27
  4. Step 4: Simplify right side
    8,417.71x = 32,504,200.35
  5. Step 5: Solve for x
    x = 32,504,200.35/8,417.71
  6. Step 6: Final answer
    x = 3,861.41

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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.