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Finding the Fourth Proportional to 8,284.32, 12,424.55 and 5,313.78

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Solution

The fourth proportional to 8,284.32, 12,424.55 and 5,313.78 is: 7,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.32 : 12,424.55 = 5,313.78 : x
  2. Step 2: Convert to fraction form
    8,284.32/12,424.55 = 5,313.78/x
  3. Step 3: Cross multiply
    8,284.32x = 12,424.55 × 5,313.78
  4. Step 4: Simplify right side
    8,284.32x = 66,021,298.73
  5. Step 5: Solve for x
    x = 66,021,298.73/8,284.32
  6. Step 6: Final answer
    x = 7,969.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.