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Finding the Fourth Proportional to 10,402.80, 15,604.16 and 4,164.38

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Solution

The fourth proportional to 10,402.80, 15,604.16 and 4,164.38 is: 6,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.80 : 15,604.16 = 4,164.38 : x
  2. Step 2: Convert to fraction form
    10,402.80/15,604.16 = 4,164.38/x
  3. Step 3: Cross multiply
    10,402.80x = 15,604.16 × 4,164.38
  4. Step 4: Simplify right side
    10,402.80x = 64,981,552.98
  5. Step 5: Solve for x
    x = 64,981,552.98/10,402.80
  6. Step 6: Final answer
    x = 6,246.54

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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.