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Finding the Fourth Proportional to 8,488, 12,737.12 and 3,624

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Solution

The fourth proportional to 8,488, 12,737.12 and 3,624 is: 5,438.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488 : 12,737.12 = 3,624 : x
  2. Step 2: Convert to fraction form
    8,488/12,737.12 = 3,624/x
  3. Step 3: Cross multiply
    8,488x = 12,737.12 × 3,624
  4. Step 4: Simplify right side
    8,488x = 46,159,322.88
  5. Step 5: Solve for x
    x = 46,159,322.88/8,488
  6. Step 6: Final answer
    x = 5,438.19

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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.