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Finding the Fourth Proportional to 6,737.10, 10,109.90 and 2,577.48

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Solution

The fourth proportional to 6,737.10, 10,109.90 and 2,577.48 is: 3,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.10 : 10,109.90 = 2,577.48 : x
  2. Step 2: Convert to fraction form
    6,737.10/10,109.90 = 2,577.48/x
  3. Step 3: Cross multiply
    6,737.10x = 10,109.90 × 2,577.48
  4. Step 4: Simplify right side
    6,737.10x = 26,058,065.05
  5. Step 5: Solve for x
    x = 26,058,065.05/6,737.10
  6. Step 6: Final answer
    x = 3,867.85

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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.