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Finding the Fourth Proportional to 10,378.39, 15,575.07 and 4,134.80

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Solution

The fourth proportional to 10,378.39, 15,575.07 and 4,134.80 is: 6,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.39 : 15,575.07 = 4,134.80 : x
  2. Step 2: Convert to fraction form
    10,378.39/15,575.07 = 4,134.80/x
  3. Step 3: Cross multiply
    10,378.39x = 15,575.07 × 4,134.80
  4. Step 4: Simplify right side
    10,378.39x = 64,399,799.44
  5. Step 5: Solve for x
    x = 64,399,799.44/10,378.39
  6. Step 6: Final answer
    x = 6,205.18

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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.