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Finding the Fourth Proportional to 10,612.96, 15,923.79 and 5,614.03

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Solution

The fourth proportional to 10,612.96, 15,923.79 and 5,614.03 is: 8,423.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.96 : 15,923.79 = 5,614.03 : x
  2. Step 2: Convert to fraction form
    10,612.96/15,923.79 = 5,614.03/x
  3. Step 3: Cross multiply
    10,612.96x = 15,923.79 × 5,614.03
  4. Step 4: Simplify right side
    10,612.96x = 89,396,594.96
  5. Step 5: Solve for x
    x = 89,396,594.96/10,612.96
  6. Step 6: Final answer
    x = 8,423.34

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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.