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Finding the Fourth Proportional to 10,144.78, 15,202.55 and 5,752.96

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Solution

The fourth proportional to 10,144.78, 15,202.55 and 5,752.96 is: 8,621.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,144.78 : 15,202.55 = 5,752.96 : x
  2. Step 2: Convert to fraction form
    10,144.78/15,202.55 = 5,752.96/x
  3. Step 3: Cross multiply
    10,144.78x = 15,202.55 × 5,752.96
  4. Step 4: Simplify right side
    10,144.78x = 87,459,638.42
  5. Step 5: Solve for x
    x = 87,459,638.42/10,144.78
  6. Step 6: Final answer
    x = 8,621.15

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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.