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Finding the Fourth Proportional to 8,013.95, 11,999.92 and 5,232.81

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Solution

The fourth proportional to 8,013.95, 11,999.92 and 5,232.81 is: 7,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,013.95 : 11,999.92 = 5,232.81 : x
  2. Step 2: Convert to fraction form
    8,013.95/11,999.92 = 5,232.81/x
  3. Step 3: Cross multiply
    8,013.95x = 11,999.92 × 5,232.81
  4. Step 4: Simplify right side
    8,013.95x = 62,793,301.38
  5. Step 5: Solve for x
    x = 62,793,301.38/8,013.95
  6. Step 6: Final answer
    x = 7,835.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.