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Finding the Fourth Proportional to 10,156.86, 15,235.22 and 2,761.29

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Solution

The fourth proportional to 10,156.86, 15,235.22 and 2,761.29 is: 4,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.86 : 15,235.22 = 2,761.29 : x
  2. Step 2: Convert to fraction form
    10,156.86/15,235.22 = 2,761.29/x
  3. Step 3: Cross multiply
    10,156.86x = 15,235.22 × 2,761.29
  4. Step 4: Simplify right side
    10,156.86x = 42,068,867.54
  5. Step 5: Solve for x
    x = 42,068,867.54/10,156.86
  6. Step 6: Final answer
    x = 4,141.92

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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.