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Finding the Fourth Proportional to 7,231.17, 9,978.88 and 4,087.29

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Solution

The fourth proportional to 7,231.17, 9,978.88 and 4,087.29 is: 5,640.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.17 : 9,978.88 = 4,087.29 : x
  2. Step 2: Convert to fraction form
    7,231.17/9,978.88 = 4,087.29/x
  3. Step 3: Cross multiply
    7,231.17x = 9,978.88 × 4,087.29
  4. Step 4: Simplify right side
    7,231.17x = 40,786,566.22
  5. Step 5: Solve for x
    x = 40,786,566.22/7,231.17
  6. Step 6: Final answer
    x = 5,640.38

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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.