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Finding the Fourth Proportional to 7,584.32, 10,466.32 and 4,227.28

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Solution

The fourth proportional to 7,584.32, 10,466.32 and 4,227.28 is: 5,833.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.32 : 10,466.32 = 4,227.28 : x
  2. Step 2: Convert to fraction form
    7,584.32/10,466.32 = 4,227.28/x
  3. Step 3: Cross multiply
    7,584.32x = 10,466.32 × 4,227.28
  4. Step 4: Simplify right side
    7,584.32x = 44,244,065.21
  5. Step 5: Solve for x
    x = 44,244,065.21/7,584.32
  6. Step 6: Final answer
    x = 5,833.62

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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.