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Finding the Fourth Proportional to 10,400.64, 15,578.96 and 7,273.24

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Solution

The fourth proportional to 10,400.64, 15,578.96 and 7,273.24 is: 10,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.64 : 15,578.96 = 7,273.24 : x
  2. Step 2: Convert to fraction form
    10,400.64/15,578.96 = 7,273.24/x
  3. Step 3: Cross multiply
    10,400.64x = 15,578.96 × 7,273.24
  4. Step 4: Simplify right side
    10,400.64x = 113,309,515.03
  5. Step 5: Solve for x
    x = 113,309,515.03/10,400.64
  6. Step 6: Final answer
    x = 10,894.48

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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.