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Finding the Fourth Proportional to 8,158.32, 12,237.49 and 2,234.78

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Solution

The fourth proportional to 8,158.32, 12,237.49 and 2,234.78 is: 3,352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.32 : 12,237.49 = 2,234.78 : x
  2. Step 2: Convert to fraction form
    8,158.32/12,237.49 = 2,234.78/x
  3. Step 3: Cross multiply
    8,158.32x = 12,237.49 × 2,234.78
  4. Step 4: Simplify right side
    8,158.32x = 27,348,036.71
  5. Step 5: Solve for x
    x = 27,348,036.71/8,158.32
  6. Step 6: Final answer
    x = 3,352.17

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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.