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Finding the Fourth Proportional to 10,155.56, 15,233.22 and 5,226.56

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Solution

The fourth proportional to 10,155.56, 15,233.22 and 5,226.56 is: 7,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.56 : 15,233.22 = 5,226.56 : x
  2. Step 2: Convert to fraction form
    10,155.56/15,233.22 = 5,226.56/x
  3. Step 3: Cross multiply
    10,155.56x = 15,233.22 × 5,226.56
  4. Step 4: Simplify right side
    10,155.56x = 79,617,338.32
  5. Step 5: Solve for x
    x = 79,617,338.32/10,155.56
  6. Step 6: Final answer
    x = 7,839.78

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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.