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Finding the Fourth Proportional to 8,235.38, 11,371.38 and 7,605.68

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Solution

The fourth proportional to 8,235.38, 11,371.38 and 7,605.68 is: 10,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.38 : 11,371.38 = 7,605.68 : x
  2. Step 2: Convert to fraction form
    8,235.38/11,371.38 = 7,605.68/x
  3. Step 3: Cross multiply
    8,235.38x = 11,371.38 × 7,605.68
  4. Step 4: Simplify right side
    8,235.38x = 86,487,077.44
  5. Step 5: Solve for x
    x = 86,487,077.44/8,235.38
  6. Step 6: Final answer
    x = 10,501.89

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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.