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Finding the Fourth Proportional to 10,135.44, 15,203.16 and 8,096.40

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Solution

The fourth proportional to 10,135.44, 15,203.16 and 8,096.40 is: 12,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.44 : 15,203.16 = 8,096.40 : x
  2. Step 2: Convert to fraction form
    10,135.44/15,203.16 = 8,096.40/x
  3. Step 3: Cross multiply
    10,135.44x = 15,203.16 × 8,096.40
  4. Step 4: Simplify right side
    10,135.44x = 123,090,864.62
  5. Step 5: Solve for x
    x = 123,090,864.62/10,135.44
  6. Step 6: Final answer
    x = 12,144.60

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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.