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Finding the Fourth Proportional to 10,239.72, 15,350.16 and 5,299.22

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Solution

The fourth proportional to 10,239.72, 15,350.16 and 5,299.22 is: 7,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.72 : 15,350.16 = 5,299.22 : x
  2. Step 2: Convert to fraction form
    10,239.72/15,350.16 = 5,299.22/x
  3. Step 3: Cross multiply
    10,239.72x = 15,350.16 × 5,299.22
  4. Step 4: Simplify right side
    10,239.72x = 81,343,903.31
  5. Step 5: Solve for x
    x = 81,343,903.31/10,239.72
  6. Step 6: Final answer
    x = 7,943.96

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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.