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Finding the Fourth Proportional to 10,299.72, 15,454.25 and 4,378.22

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Solution

The fourth proportional to 10,299.72, 15,454.25 and 4,378.22 is: 6,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.72 : 15,454.25 = 4,378.22 : x
  2. Step 2: Convert to fraction form
    10,299.72/15,454.25 = 4,378.22/x
  3. Step 3: Cross multiply
    10,299.72x = 15,454.25 × 4,378.22
  4. Step 4: Simplify right side
    10,299.72x = 67,662,007.27
  5. Step 5: Solve for x
    x = 67,662,007.27/10,299.72
  6. Step 6: Final answer
    x = 6,569.31

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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.