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Finding the Fourth Proportional to 10,202.12, 15,288.78 and 4,356.68

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Solution

The fourth proportional to 10,202.12, 15,288.78 and 4,356.68 is: 6,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202.12 : 15,288.78 = 4,356.68 : x
  2. Step 2: Convert to fraction form
    10,202.12/15,288.78 = 4,356.68/x
  3. Step 3: Cross multiply
    10,202.12x = 15,288.78 × 4,356.68
  4. Step 4: Simplify right side
    10,202.12x = 66,608,322.05
  5. Step 5: Solve for x
    x = 66,608,322.05/10,202.12
  6. Step 6: Final answer
    x = 6,528.87

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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.