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Finding the Fourth Proportional to 7,929.43, 11,886.05 and 5,161.66

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Solution

The fourth proportional to 7,929.43, 11,886.05 and 5,161.66 is: 7,737.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.43 : 11,886.05 = 5,161.66 : x
  2. Step 2: Convert to fraction form
    7,929.43/11,886.05 = 5,161.66/x
  3. Step 3: Cross multiply
    7,929.43x = 11,886.05 × 5,161.66
  4. Step 4: Simplify right side
    7,929.43x = 61,351,723.03
  5. Step 5: Solve for x
    x = 61,351,723.03/7,929.43
  6. Step 6: Final answer
    x = 7,737.22

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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.