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Finding the Fourth Proportional to 7,711.98, 10,642.48 and 4,175.12

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Solution

The fourth proportional to 7,711.98, 10,642.48 and 4,175.12 is: 5,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.98 : 10,642.48 = 4,175.12 : x
  2. Step 2: Convert to fraction form
    7,711.98/10,642.48 = 4,175.12/x
  3. Step 3: Cross multiply
    7,711.98x = 10,642.48 × 4,175.12
  4. Step 4: Simplify right side
    7,711.98x = 44,433,631.10
  5. Step 5: Solve for x
    x = 44,433,631.10/7,711.98
  6. Step 6: Final answer
    x = 5,761.64

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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.