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Finding the Fourth Proportional to 7,443.52, 11,165.28 and 3,282.64

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Solution

The fourth proportional to 7,443.52, 11,165.28 and 3,282.64 is: 4,923.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.52 : 11,165.28 = 3,282.64 : x
  2. Step 2: Convert to fraction form
    7,443.52/11,165.28 = 3,282.64/x
  3. Step 3: Cross multiply
    7,443.52x = 11,165.28 × 3,282.64
  4. Step 4: Simplify right side
    7,443.52x = 36,651,594.74
  5. Step 5: Solve for x
    x = 36,651,594.74/7,443.52
  6. Step 6: Final answer
    x = 4,923.96

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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.