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Finding the Fourth Proportional to 8,632.38, 11,897.37 and 7,434.30

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Solution

The fourth proportional to 8,632.38, 11,897.37 and 7,434.30 is: 10,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.38 : 11,897.37 = 7,434.30 : x
  2. Step 2: Convert to fraction form
    8,632.38/11,897.37 = 7,434.30/x
  3. Step 3: Cross multiply
    8,632.38x = 11,897.37 × 7,434.30
  4. Step 4: Simplify right side
    8,632.38x = 88,448,617.79
  5. Step 5: Solve for x
    x = 88,448,617.79/8,632.38
  6. Step 6: Final answer
    x = 10,246.15

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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.