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Finding the Fourth Proportional to 7,741.37, 10,691.18 and 6,401.83

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Solution

The fourth proportional to 7,741.37, 10,691.18 and 6,401.83 is: 8,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.37 : 10,691.18 = 6,401.83 : x
  2. Step 2: Convert to fraction form
    7,741.37/10,691.18 = 6,401.83/x
  3. Step 3: Cross multiply
    7,741.37x = 10,691.18 × 6,401.83
  4. Step 4: Simplify right side
    7,741.37x = 68,443,116.86
  5. Step 5: Solve for x
    x = 68,443,116.86/7,741.37
  6. Step 6: Final answer
    x = 8,841.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.