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Finding the Fourth Proportional to 8,314.88, 11,478.30 and 5,291.24

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Solution

The fourth proportional to 8,314.88, 11,478.30 and 5,291.24 is: 7,304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.88 : 11,478.30 = 5,291.24 : x
  2. Step 2: Convert to fraction form
    8,314.88/11,478.30 = 5,291.24/x
  3. Step 3: Cross multiply
    8,314.88x = 11,478.30 × 5,291.24
  4. Step 4: Simplify right side
    8,314.88x = 60,734,440.09
  5. Step 5: Solve for x
    x = 60,734,440.09/8,314.88
  6. Step 6: Final answer
    x = 7,304.31

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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.