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Finding the Fourth Proportional to 10,744.38, 14,834.07 and 7,386.12

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Solution

The fourth proportional to 10,744.38, 14,834.07 and 7,386.12 is: 10,197.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.38 : 14,834.07 = 7,386.12 : x
  2. Step 2: Convert to fraction form
    10,744.38/14,834.07 = 7,386.12/x
  3. Step 3: Cross multiply
    10,744.38x = 14,834.07 × 7,386.12
  4. Step 4: Simplify right side
    10,744.38x = 109,566,221.11
  5. Step 5: Solve for x
    x = 109,566,221.11/10,744.38
  6. Step 6: Final answer
    x = 10,197.54

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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.