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Finding the Fourth Proportional to 8,306.74, 11,454.50 and 5,322.70

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Solution

The fourth proportional to 8,306.74, 11,454.50 and 5,322.70 is: 7,339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.74 : 11,454.50 = 5,322.70 : x
  2. Step 2: Convert to fraction form
    8,306.74/11,454.50 = 5,322.70/x
  3. Step 3: Cross multiply
    8,306.74x = 11,454.50 × 5,322.70
  4. Step 4: Simplify right side
    8,306.74x = 60,968,867.15
  5. Step 5: Solve for x
    x = 60,968,867.15/8,306.74
  6. Step 6: Final answer
    x = 7,339.69

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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.