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Finding the Fourth Proportional to 8,077.02, 12,103.16 and 5,434.74

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Solution

The fourth proportional to 8,077.02, 12,103.16 and 5,434.74 is: 8,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.02 : 12,103.16 = 5,434.74 : x
  2. Step 2: Convert to fraction form
    8,077.02/12,103.16 = 5,434.74/x
  3. Step 3: Cross multiply
    8,077.02x = 12,103.16 × 5,434.74
  4. Step 4: Simplify right side
    8,077.02x = 65,777,440.09
  5. Step 5: Solve for x
    x = 65,777,440.09/8,077.02
  6. Step 6: Final answer
    x = 8,143.78

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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.