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Finding the Fourth Proportional to 7,167.67, 9,890.31 and 4,023.25

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Solution

The fourth proportional to 7,167.67, 9,890.31 and 4,023.25 is: 5,551.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.67 : 9,890.31 = 4,023.25 : x
  2. Step 2: Convert to fraction form
    7,167.67/9,890.31 = 4,023.25/x
  3. Step 3: Cross multiply
    7,167.67x = 9,890.31 × 4,023.25
  4. Step 4: Simplify right side
    7,167.67x = 39,791,189.71
  5. Step 5: Solve for x
    x = 39,791,189.71/7,167.67
  6. Step 6: Final answer
    x = 5,551.48

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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.