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Finding the Fourth Proportional to 10,183.14, 15,256.89 and 7,246.08

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Solution

The fourth proportional to 10,183.14, 15,256.89 and 7,246.08 is: 10,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.14 : 15,256.89 = 7,246.08 : x
  2. Step 2: Convert to fraction form
    10,183.14/15,256.89 = 7,246.08/x
  3. Step 3: Cross multiply
    10,183.14x = 15,256.89 × 7,246.08
  4. Step 4: Simplify right side
    10,183.14x = 110,552,645.49
  5. Step 5: Solve for x
    x = 110,552,645.49/10,183.14
  6. Step 6: Final answer
    x = 10,856.44

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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.