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Finding the Fourth Proportional to 7,167.75, 9,891.48 and 4,023.93

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Solution

The fourth proportional to 7,167.75, 9,891.48 and 4,023.93 is: 5,553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.75 : 9,891.48 = 4,023.93 : x
  2. Step 2: Convert to fraction form
    7,167.75/9,891.48 = 4,023.93/x
  3. Step 3: Cross multiply
    7,167.75x = 9,891.48 × 4,023.93
  4. Step 4: Simplify right side
    7,167.75x = 39,802,623.12
  5. Step 5: Solve for x
    x = 39,802,623.12/7,167.75
  6. Step 6: Final answer
    x = 5,553.01

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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.