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Finding the Fourth Proportional to 8,541.16, 12,781.02 and 5,438.44

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Solution

The fourth proportional to 8,541.16, 12,781.02 and 5,438.44 is: 8,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.16 : 12,781.02 = 5,438.44 : x
  2. Step 2: Convert to fraction form
    8,541.16/12,781.02 = 5,438.44/x
  3. Step 3: Cross multiply
    8,541.16x = 12,781.02 × 5,438.44
  4. Step 4: Simplify right side
    8,541.16x = 69,508,810.41
  5. Step 5: Solve for x
    x = 69,508,810.41/8,541.16
  6. Step 6: Final answer
    x = 8,138.10

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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.