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Finding the Fourth Proportional to 7,711.98, 10,642.47 and 4,175.21

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Solution

The fourth proportional to 7,711.98, 10,642.47 and 4,175.21 is: 5,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.98 : 10,642.47 = 4,175.21 : x
  2. Step 2: Convert to fraction form
    7,711.98/10,642.47 = 4,175.21/x
  3. Step 3: Cross multiply
    7,711.98x = 10,642.47 × 4,175.21
  4. Step 4: Simplify right side
    7,711.98x = 44,434,493.96
  5. Step 5: Solve for x
    x = 44,434,493.96/7,711.98
  6. Step 6: Final answer
    x = 5,761.75

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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.