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Finding the Fourth Proportional to 10,282.64, 15,420.72 and 4,040.78

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Solution

The fourth proportional to 10,282.64, 15,420.72 and 4,040.78 is: 6,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.64 : 15,420.72 = 4,040.78 : x
  2. Step 2: Convert to fraction form
    10,282.64/15,420.72 = 4,040.78/x
  3. Step 3: Cross multiply
    10,282.64x = 15,420.72 × 4,040.78
  4. Step 4: Simplify right side
    10,282.64x = 62,311,736.96
  5. Step 5: Solve for x
    x = 62,311,736.96/10,282.64
  6. Step 6: Final answer
    x = 6,059.90

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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.