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Finding the Fourth Proportional to 10,571.31, 15,857.10 and 2,780.19

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Solution

The fourth proportional to 10,571.31, 15,857.10 and 2,780.19 is: 4,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.31 : 15,857.10 = 2,780.19 : x
  2. Step 2: Convert to fraction form
    10,571.31/15,857.10 = 2,780.19/x
  3. Step 3: Cross multiply
    10,571.31x = 15,857.10 × 2,780.19
  4. Step 4: Simplify right side
    10,571.31x = 44,085,750.85
  5. Step 5: Solve for x
    x = 44,085,750.85/10,571.31
  6. Step 6: Final answer
    x = 4,170.32

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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.