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Finding the Fourth Proportional to 8,140.52, 12,210.11 and 2,593.64

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Solution

The fourth proportional to 8,140.52, 12,210.11 and 2,593.64 is: 3,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.52 : 12,210.11 = 2,593.64 : x
  2. Step 2: Convert to fraction form
    8,140.52/12,210.11 = 2,593.64/x
  3. Step 3: Cross multiply
    8,140.52x = 12,210.11 × 2,593.64
  4. Step 4: Simplify right side
    8,140.52x = 31,668,616.73
  5. Step 5: Solve for x
    x = 31,668,616.73/8,140.52
  6. Step 6: Final answer
    x = 3,890.24

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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.