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Finding the Fourth Proportional to 8,444.26, 11,642.16 and 5,786.92

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Solution

The fourth proportional to 8,444.26, 11,642.16 and 5,786.92 is: 7,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.26 : 11,642.16 = 5,786.92 : x
  2. Step 2: Convert to fraction form
    8,444.26/11,642.16 = 5,786.92/x
  3. Step 3: Cross multiply
    8,444.26x = 11,642.16 × 5,786.92
  4. Step 4: Simplify right side
    8,444.26x = 67,372,248.55
  5. Step 5: Solve for x
    x = 67,372,248.55/8,444.26
  6. Step 6: Final answer
    x = 7,978.47

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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.