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Finding the Fourth Proportional to 6,737.86, 10,108.16 and 2,842.28

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Solution

The fourth proportional to 6,737.86, 10,108.16 and 2,842.28 is: 4,264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.86 : 10,108.16 = 2,842.28 : x
  2. Step 2: Convert to fraction form
    6,737.86/10,108.16 = 2,842.28/x
  3. Step 3: Cross multiply
    6,737.86x = 10,108.16 × 2,842.28
  4. Step 4: Simplify right side
    6,737.86x = 28,730,221.00
  5. Step 5: Solve for x
    x = 28,730,221.00/6,737.86
  6. Step 6: Final answer
    x = 4,264.00

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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.