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Finding the Fourth Proportional to 10,161.05, 15,229.22 and 4,612.95

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Solution

The fourth proportional to 10,161.05, 15,229.22 and 4,612.95 is: 6,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,161.05 : 15,229.22 = 4,612.95 : x
  2. Step 2: Convert to fraction form
    10,161.05/15,229.22 = 4,612.95/x
  3. Step 3: Cross multiply
    10,161.05x = 15,229.22 × 4,612.95
  4. Step 4: Simplify right side
    10,161.05x = 70,251,607.33
  5. Step 5: Solve for x
    x = 70,251,607.33/10,161.05
  6. Step 6: Final answer
    x = 6,913.82

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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.