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Finding the Fourth Proportional to 8,617.24, 11,891.91 and 8,319.23

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Solution

The fourth proportional to 8,617.24, 11,891.91 and 8,319.23 is: 11,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,617.24 : 11,891.91 = 8,319.23 : x
  2. Step 2: Convert to fraction form
    8,617.24/11,891.91 = 8,319.23/x
  3. Step 3: Cross multiply
    8,617.24x = 11,891.91 × 8,319.23
  4. Step 4: Simplify right side
    8,617.24x = 98,931,534.43
  5. Step 5: Solve for x
    x = 98,931,534.43/8,617.24
  6. Step 6: Final answer
    x = 11,480.65

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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.