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Finding the Fourth Proportional to 8,274.43, 11,418.89 and 4,737.66

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Solution

The fourth proportional to 8,274.43, 11,418.89 and 4,737.66 is: 6,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.43 : 11,418.89 = 4,737.66 : x
  2. Step 2: Convert to fraction form
    8,274.43/11,418.89 = 4,737.66/x
  3. Step 3: Cross multiply
    8,274.43x = 11,418.89 × 4,737.66
  4. Step 4: Simplify right side
    8,274.43x = 54,098,818.40
  5. Step 5: Solve for x
    x = 54,098,818.40/8,274.43
  6. Step 6: Final answer
    x = 6,538.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.