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Finding the Fourth Proportional to 7,250.78, 10,876.26 and 2,570.70

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Solution

The fourth proportional to 7,250.78, 10,876.26 and 2,570.70 is: 3,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.78 : 10,876.26 = 2,570.70 : x
  2. Step 2: Convert to fraction form
    7,250.78/10,876.26 = 2,570.70/x
  3. Step 3: Cross multiply
    7,250.78x = 10,876.26 × 2,570.70
  4. Step 4: Simplify right side
    7,250.78x = 27,959,601.58
  5. Step 5: Solve for x
    x = 27,959,601.58/7,250.78
  6. Step 6: Final answer
    x = 3,856.08

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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.