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Finding the Fourth Proportional to 8,258.24, 11,387.84 and 5,743.19

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Solution

The fourth proportional to 8,258.24, 11,387.84 and 5,743.19 is: 7,919.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.24 : 11,387.84 = 5,743.19 : x
  2. Step 2: Convert to fraction form
    8,258.24/11,387.84 = 5,743.19/x
  3. Step 3: Cross multiply
    8,258.24x = 11,387.84 × 5,743.19
  4. Step 4: Simplify right side
    8,258.24x = 65,402,443.15
  5. Step 5: Solve for x
    x = 65,402,443.15/8,258.24
  6. Step 6: Final answer
    x = 7,919.66

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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.