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Finding the Fourth Proportional to 8,292.31, 11,423.92 and 5,770.08

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Solution

The fourth proportional to 8,292.31, 11,423.92 and 5,770.08 is: 7,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.31 : 11,423.92 = 5,770.08 : x
  2. Step 2: Convert to fraction form
    8,292.31/11,423.92 = 5,770.08/x
  3. Step 3: Cross multiply
    8,292.31x = 11,423.92 × 5,770.08
  4. Step 4: Simplify right side
    8,292.31x = 65,916,932.31
  5. Step 5: Solve for x
    x = 65,916,932.31/8,292.31
  6. Step 6: Final answer
    x = 7,949.16

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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.