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Finding the Fourth Proportional to 11,391.21, 15,708.38 and 7,614.39

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Solution

The fourth proportional to 11,391.21, 15,708.38 and 7,614.39 is: 10,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.21 : 15,708.38 = 7,614.39 : x
  2. Step 2: Convert to fraction form
    11,391.21/15,708.38 = 7,614.39/x
  3. Step 3: Cross multiply
    11,391.21x = 15,708.38 × 7,614.39
  4. Step 4: Simplify right side
    11,391.21x = 119,609,693.52
  5. Step 5: Solve for x
    x = 119,609,693.52/11,391.21
  6. Step 6: Final answer
    x = 10,500.17

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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.