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Finding the Fourth Proportional to 6,767.62, 10,140.94 and 4,691.66

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Solution

The fourth proportional to 6,767.62, 10,140.94 and 4,691.66 is: 7,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.62 : 10,140.94 = 4,691.66 : x
  2. Step 2: Convert to fraction form
    6,767.62/10,140.94 = 4,691.66/x
  3. Step 3: Cross multiply
    6,767.62x = 10,140.94 × 4,691.66
  4. Step 4: Simplify right side
    6,767.62x = 47,577,842.56
  5. Step 5: Solve for x
    x = 47,577,842.56/6,767.62
  6. Step 6: Final answer
    x = 7,030.22

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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.