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Finding the Fourth Proportional to 8,319.86, 11,478.65 and 5,488.64

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Solution

The fourth proportional to 8,319.86, 11,478.65 and 5,488.64 is: 7,572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.86 : 11,478.65 = 5,488.64 : x
  2. Step 2: Convert to fraction form
    8,319.86/11,478.65 = 5,488.64/x
  3. Step 3: Cross multiply
    8,319.86x = 11,478.65 × 5,488.64
  4. Step 4: Simplify right side
    8,319.86x = 63,002,092.70
  5. Step 5: Solve for x
    x = 63,002,092.70/8,319.86
  6. Step 6: Final answer
    x = 7,572.50

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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.