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Finding the Fourth Proportional to 8,158.29, 12,237.84 and 3,478.92

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Solution

The fourth proportional to 8,158.29, 12,237.84 and 3,478.92 is: 5,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.29 : 12,237.84 = 3,478.92 : x
  2. Step 2: Convert to fraction form
    8,158.29/12,237.84 = 3,478.92/x
  3. Step 3: Cross multiply
    8,158.29x = 12,237.84 × 3,478.92
  4. Step 4: Simplify right side
    8,158.29x = 42,574,466.33
  5. Step 5: Solve for x
    x = 42,574,466.33/8,158.29
  6. Step 6: Final answer
    x = 5,218.55

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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.