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Finding the Fourth Proportional to 7,175.26, 9,901.72 and 4,380.76

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Solution

The fourth proportional to 7,175.26, 9,901.72 and 4,380.76 is: 6,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.26 : 9,901.72 = 4,380.76 : x
  2. Step 2: Convert to fraction form
    7,175.26/9,901.72 = 4,380.76/x
  3. Step 3: Cross multiply
    7,175.26x = 9,901.72 × 4,380.76
  4. Step 4: Simplify right side
    7,175.26x = 43,377,058.91
  5. Step 5: Solve for x
    x = 43,377,058.91/7,175.26
  6. Step 6: Final answer
    x = 6,045.36

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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.