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Finding the Fourth Proportional to 10,315.92, 15,474.64 and 3,742.14

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Solution

The fourth proportional to 10,315.92, 15,474.64 and 3,742.14 is: 5,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.92 : 15,474.64 = 3,742.14 : x
  2. Step 2: Convert to fraction form
    10,315.92/15,474.64 = 3,742.14/x
  3. Step 3: Cross multiply
    10,315.92x = 15,474.64 × 3,742.14
  4. Step 4: Simplify right side
    10,315.92x = 57,908,269.33
  5. Step 5: Solve for x
    x = 57,908,269.33/10,315.92
  6. Step 6: Final answer
    x = 5,613.49

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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.