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Finding the Fourth Proportional to 10,238.82, 15,348.50 and 4,002.83

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Solution

The fourth proportional to 10,238.82, 15,348.50 and 4,002.83 is: 6,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.82 : 15,348.50 = 4,002.83 : x
  2. Step 2: Convert to fraction form
    10,238.82/15,348.50 = 4,002.83/x
  3. Step 3: Cross multiply
    10,238.82x = 15,348.50 × 4,002.83
  4. Step 4: Simplify right side
    10,238.82x = 61,437,436.26
  5. Step 5: Solve for x
    x = 61,437,436.26/10,238.82
  6. Step 6: Final answer
    x = 6,000.44

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