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Finding the Fourth Proportional to 10,105.45, 15,148.78 and 5,164.18

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Solution

The fourth proportional to 10,105.45, 15,148.78 and 5,164.18 is: 7,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.45 : 15,148.78 = 5,164.18 : x
  2. Step 2: Convert to fraction form
    10,105.45/15,148.78 = 5,164.18/x
  3. Step 3: Cross multiply
    10,105.45x = 15,148.78 × 5,164.18
  4. Step 4: Simplify right side
    10,105.45x = 78,231,026.70
  5. Step 5: Solve for x
    x = 78,231,026.70/10,105.45
  6. Step 6: Final answer
    x = 7,741.47

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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.