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Finding the Fourth Proportional to 10,315.96, 15,471.24 and 3,740.92

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Solution

The fourth proportional to 10,315.96, 15,471.24 and 3,740.92 is: 5,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.96 : 15,471.24 = 3,740.92 : x
  2. Step 2: Convert to fraction form
    10,315.96/15,471.24 = 3,740.92/x
  3. Step 3: Cross multiply
    10,315.96x = 15,471.24 × 3,740.92
  4. Step 4: Simplify right side
    10,315.96x = 57,876,671.14
  5. Step 5: Solve for x
    x = 57,876,671.14/10,315.96
  6. Step 6: Final answer
    x = 5,610.40

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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.