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Finding the Fourth Proportional to 11,471.12, 17,200.96 and 3,678.92

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Solution

The fourth proportional to 11,471.12, 17,200.96 and 3,678.92 is: 5,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.12 : 17,200.96 = 3,678.92 : x
  2. Step 2: Convert to fraction form
    11,471.12/17,200.96 = 3,678.92/x
  3. Step 3: Cross multiply
    11,471.12x = 17,200.96 × 3,678.92
  4. Step 4: Simplify right side
    11,471.12x = 63,280,955.76
  5. Step 5: Solve for x
    x = 63,280,955.76/11,471.12
  6. Step 6: Final answer
    x = 5,516.55

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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.