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Finding the Fourth Proportional to 10,324.96, 15,491.76 and 3,400.16

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Solution

The fourth proportional to 10,324.96, 15,491.76 and 3,400.16 is: 5,101.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.96 : 15,491.76 = 3,400.16 : x
  2. Step 2: Convert to fraction form
    10,324.96/15,491.76 = 3,400.16/x
  3. Step 3: Cross multiply
    10,324.96x = 15,491.76 × 3,400.16
  4. Step 4: Simplify right side
    10,324.96x = 52,674,462.68
  5. Step 5: Solve for x
    x = 52,674,462.68/10,324.96
  6. Step 6: Final answer
    x = 5,101.66

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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.