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Finding the Fourth Proportional to 7,175.53, 9,902.33 and 4,342.87

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Solution

The fourth proportional to 7,175.53, 9,902.33 and 4,342.87 is: 5,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.53 : 9,902.33 = 4,342.87 : x
  2. Step 2: Convert to fraction form
    7,175.53/9,902.33 = 4,342.87/x
  3. Step 3: Cross multiply
    7,175.53x = 9,902.33 × 4,342.87
  4. Step 4: Simplify right side
    7,175.53x = 43,004,531.89
  5. Step 5: Solve for x
    x = 43,004,531.89/7,175.53
  6. Step 6: Final answer
    x = 5,993.22

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Why These Related Problems?

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