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Finding the Fourth Proportional to 7,389.96, 10,198.24 and 4,032.74

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Solution

The fourth proportional to 7,389.96, 10,198.24 and 4,032.74 is: 5,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.96 : 10,198.24 = 4,032.74 : x
  2. Step 2: Convert to fraction form
    7,389.96/10,198.24 = 4,032.74/x
  3. Step 3: Cross multiply
    7,389.96x = 10,198.24 × 4,032.74
  4. Step 4: Simplify right side
    7,389.96x = 41,126,850.38
  5. Step 5: Solve for x
    x = 41,126,850.38/7,389.96
  6. Step 6: Final answer
    x = 5,565.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.