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Finding the Fourth Proportional to 8,284.20, 11,424.90 and 6,496.68

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Solution

The fourth proportional to 8,284.20, 11,424.90 and 6,496.68 is: 8,959.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.20 : 11,424.90 = 6,496.68 : x
  2. Step 2: Convert to fraction form
    8,284.20/11,424.90 = 6,496.68/x
  3. Step 3: Cross multiply
    8,284.20x = 11,424.90 × 6,496.68
  4. Step 4: Simplify right side
    8,284.20x = 74,223,919.33
  5. Step 5: Solve for x
    x = 74,223,919.33/8,284.20
  6. Step 6: Final answer
    x = 8,959.70

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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.