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Finding the Fourth Proportional to 10,571.55, 15,856.06 and 2,780.97

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Solution

The fourth proportional to 10,571.55, 15,856.06 and 2,780.97 is: 4,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.55 : 15,856.06 = 2,780.97 : x
  2. Step 2: Convert to fraction form
    10,571.55/15,856.06 = 2,780.97/x
  3. Step 3: Cross multiply
    10,571.55x = 15,856.06 × 2,780.97
  4. Step 4: Simplify right side
    10,571.55x = 44,095,227.18
  5. Step 5: Solve for x
    x = 44,095,227.18/10,571.55
  6. Step 6: Final answer
    x = 4,171.12

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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.