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Finding the Fourth Proportional to 10,078.70, 15,118.06 and 3,837.26

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Solution

The fourth proportional to 10,078.70, 15,118.06 and 3,837.26 is: 5,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,078.70 : 15,118.06 = 3,837.26 : x
  2. Step 2: Convert to fraction form
    10,078.70/15,118.06 = 3,837.26/x
  3. Step 3: Cross multiply
    10,078.70x = 15,118.06 × 3,837.26
  4. Step 4: Simplify right side
    10,078.70x = 58,011,926.92
  5. Step 5: Solve for x
    x = 58,011,926.92/10,078.70
  6. Step 6: Final answer
    x = 5,755.89

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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.