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Finding the Fourth Proportional to 10,094.88, 15,138.18 and 5,943.18

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Solution

The fourth proportional to 10,094.88, 15,138.18 and 5,943.18 is: 8,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.88 : 15,138.18 = 5,943.18 : x
  2. Step 2: Convert to fraction form
    10,094.88/15,138.18 = 5,943.18/x
  3. Step 3: Cross multiply
    10,094.88x = 15,138.18 × 5,943.18
  4. Step 4: Simplify right side
    10,094.88x = 89,968,928.61
  5. Step 5: Solve for x
    x = 89,968,928.61/10,094.88
  6. Step 6: Final answer
    x = 8,912.33

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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.