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Finding the Fourth Proportional to 7,531.35, 10,393.11 and 4,174.16

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Solution

The fourth proportional to 7,531.35, 10,393.11 and 4,174.16 is: 5,760.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,531.35 : 10,393.11 = 4,174.16 : x
  2. Step 2: Convert to fraction form
    7,531.35/10,393.11 = 4,174.16/x
  3. Step 3: Cross multiply
    7,531.35x = 10,393.11 × 4,174.16
  4. Step 4: Simplify right side
    7,531.35x = 43,382,452.07
  5. Step 5: Solve for x
    x = 43,382,452.07/7,531.35
  6. Step 6: Final answer
    x = 5,760.25

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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.