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Finding the Fourth Proportional to 8,157.38, 12,238.02 and 2,534.87

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Solution

The fourth proportional to 8,157.38, 12,238.02 and 2,534.87 is: 3,802.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.38 : 12,238.02 = 2,534.87 : x
  2. Step 2: Convert to fraction form
    8,157.38/12,238.02 = 2,534.87/x
  3. Step 3: Cross multiply
    8,157.38x = 12,238.02 × 2,534.87
  4. Step 4: Simplify right side
    8,157.38x = 31,021,728.57
  5. Step 5: Solve for x
    x = 31,021,728.57/8,157.38
  6. Step 6: Final answer
    x = 3,802.91

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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.