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Finding the Fourth Proportional to 8,319.14, 11,478.74 and 5,295.48

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Solution

The fourth proportional to 8,319.14, 11,478.74 and 5,295.48 is: 7,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.14 : 11,478.74 = 5,295.48 : x
  2. Step 2: Convert to fraction form
    8,319.14/11,478.74 = 5,295.48/x
  3. Step 3: Cross multiply
    8,319.14x = 11,478.74 × 5,295.48
  4. Step 4: Simplify right side
    8,319.14x = 60,785,445.54
  5. Step 5: Solve for x
    x = 60,785,445.54/8,319.14
  6. Step 6: Final answer
    x = 7,306.70

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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.