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Finding the Fourth Proportional to 8,417.46, 12,626.76 and 2,578.14

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Solution

The fourth proportional to 8,417.46, 12,626.76 and 2,578.14 is: 3,867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.46 : 12,626.76 = 2,578.14 : x
  2. Step 2: Convert to fraction form
    8,417.46/12,626.76 = 2,578.14/x
  3. Step 3: Cross multiply
    8,417.46x = 12,626.76 × 2,578.14
  4. Step 4: Simplify right side
    8,417.46x = 32,553,555.03
  5. Step 5: Solve for x
    x = 32,553,555.03/8,417.46
  6. Step 6: Final answer
    x = 3,867.38

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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.