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Finding the Fourth Proportional to 8,191.97, 11,301.63 and 5,166.10

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Solution

The fourth proportional to 8,191.97, 11,301.63 and 5,166.10 is: 7,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.97 : 11,301.63 = 5,166.10 : x
  2. Step 2: Convert to fraction form
    8,191.97/11,301.63 = 5,166.10/x
  3. Step 3: Cross multiply
    8,191.97x = 11,301.63 × 5,166.10
  4. Step 4: Simplify right side
    8,191.97x = 58,385,350.74
  5. Step 5: Solve for x
    x = 58,385,350.74/8,191.97
  6. Step 6: Final answer
    x = 7,127.14

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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.