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Finding the Fourth Proportional to 8,291.87, 11,423.32 and 5,769.64

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Solution

The fourth proportional to 8,291.87, 11,423.32 and 5,769.64 is: 7,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.87 : 11,423.32 = 5,769.64 : x
  2. Step 2: Convert to fraction form
    8,291.87/11,423.32 = 5,769.64/x
  3. Step 3: Cross multiply
    8,291.87x = 11,423.32 × 5,769.64
  4. Step 4: Simplify right side
    8,291.87x = 65,908,443.86
  5. Step 5: Solve for x
    x = 65,908,443.86/8,291.87
  6. Step 6: Final answer
    x = 7,948.56

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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.