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Finding the Fourth Proportional to 8,279.86, 11,417.64 and 5,764.84

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Solution

The fourth proportional to 8,279.86, 11,417.64 and 5,764.84 is: 7,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.86 : 11,417.64 = 5,764.84 : x
  2. Step 2: Convert to fraction form
    8,279.86/11,417.64 = 5,764.84/x
  3. Step 3: Cross multiply
    8,279.86x = 11,417.64 × 5,764.84
  4. Step 4: Simplify right side
    8,279.86x = 65,820,867.78
  5. Step 5: Solve for x
    x = 65,820,867.78/8,279.86
  6. Step 6: Final answer
    x = 7,949.51

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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.