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Finding the Fourth Proportional to 10,094.60, 15,144.42 and 5,938.08

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Solution

The fourth proportional to 10,094.60, 15,144.42 and 5,938.08 is: 8,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.60 : 15,144.42 = 5,938.08 : x
  2. Step 2: Convert to fraction form
    10,094.60/15,144.42 = 5,938.08/x
  3. Step 3: Cross multiply
    10,094.60x = 15,144.42 × 5,938.08
  4. Step 4: Simplify right side
    10,094.60x = 89,928,799.78
  5. Step 5: Solve for x
    x = 89,928,799.78/10,094.60
  6. Step 6: Final answer
    x = 8,908.61

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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.