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Finding the Fourth Proportional to 10,162.68, 15,224.30 and 7,489.42

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Solution

The fourth proportional to 10,162.68, 15,224.30 and 7,489.42 is: 11,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.68 : 15,224.30 = 7,489.42 : x
  2. Step 2: Convert to fraction form
    10,162.68/15,224.30 = 7,489.42/x
  3. Step 3: Cross multiply
    10,162.68x = 15,224.30 × 7,489.42
  4. Step 4: Simplify right side
    10,162.68x = 114,021,176.91
  5. Step 5: Solve for x
    x = 114,021,176.91/10,162.68
  6. Step 6: Final answer
    x = 11,219.60

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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.