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Finding the Fourth Proportional to 10,452.20, 15,683.67 and 6,944.63

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Solution

The fourth proportional to 10,452.20, 15,683.67 and 6,944.63 is: 10,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.20 : 15,683.67 = 6,944.63 : x
  2. Step 2: Convert to fraction form
    10,452.20/15,683.67 = 6,944.63/x
  3. Step 3: Cross multiply
    10,452.20x = 15,683.67 × 6,944.63
  4. Step 4: Simplify right side
    10,452.20x = 108,917,206.77
  5. Step 5: Solve for x
    x = 108,917,206.77/10,452.20
  6. Step 6: Final answer
    x = 10,420.51

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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.