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Finding the Fourth Proportional to 10,138.80, 15,203.34 and 5,205.90

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Solution

The fourth proportional to 10,138.80, 15,203.34 and 5,205.90 is: 7,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,138.80 : 15,203.34 = 5,205.90 : x
  2. Step 2: Convert to fraction form
    10,138.80/15,203.34 = 5,205.90/x
  3. Step 3: Cross multiply
    10,138.80x = 15,203.34 × 5,205.90
  4. Step 4: Simplify right side
    10,138.80x = 79,147,067.71
  5. Step 5: Solve for x
    x = 79,147,067.71/10,138.80
  6. Step 6: Final answer
    x = 7,806.35

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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.