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Finding the Fourth Proportional to 10,278.54, 15,406.87 and 5,343.21

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Solution

The fourth proportional to 10,278.54, 15,406.87 and 5,343.21 is: 8,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.54 : 15,406.87 = 5,343.21 : x
  2. Step 2: Convert to fraction form
    10,278.54/15,406.87 = 5,343.21/x
  3. Step 3: Cross multiply
    10,278.54x = 15,406.87 × 5,343.21
  4. Step 4: Simplify right side
    10,278.54x = 82,322,141.85
  5. Step 5: Solve for x
    x = 82,322,141.85/10,278.54
  6. Step 6: Final answer
    x = 8,009.13

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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.