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Finding the Fourth Proportional to 8,291.24, 11,426.67 and 7,765.16

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Solution

The fourth proportional to 8,291.24, 11,426.67 and 7,765.16 is: 10,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.24 : 11,426.67 = 7,765.16 : x
  2. Step 2: Convert to fraction form
    8,291.24/11,426.67 = 7,765.16/x
  3. Step 3: Cross multiply
    8,291.24x = 11,426.67 × 7,765.16
  4. Step 4: Simplify right side
    8,291.24x = 88,729,863.68
  5. Step 5: Solve for x
    x = 88,729,863.68/8,291.24
  6. Step 6: Final answer
    x = 10,701.65

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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.