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Finding the Fourth Proportional to 10,650.31, 15,975.48 and 5,968.12

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Solution

The fourth proportional to 10,650.31, 15,975.48 and 5,968.12 is: 8,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.31 : 15,975.48 = 5,968.12 : x
  2. Step 2: Convert to fraction form
    10,650.31/15,975.48 = 5,968.12/x
  3. Step 3: Cross multiply
    10,650.31x = 15,975.48 × 5,968.12
  4. Step 4: Simplify right side
    10,650.31x = 95,343,581.70
  5. Step 5: Solve for x
    x = 95,343,581.70/10,650.31
  6. Step 6: Final answer
    x = 8,952.19

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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.