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Finding the Fourth Proportional to 6,856.89, 10,283.20 and 2,473.77

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Solution

The fourth proportional to 6,856.89, 10,283.20 and 2,473.77 is: 3,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.89 : 10,283.20 = 2,473.77 : x
  2. Step 2: Convert to fraction form
    6,856.89/10,283.20 = 2,473.77/x
  3. Step 3: Cross multiply
    6,856.89x = 10,283.20 × 2,473.77
  4. Step 4: Simplify right side
    6,856.89x = 25,438,271.66
  5. Step 5: Solve for x
    x = 25,438,271.66/6,856.89
  6. Step 6: Final answer
    x = 3,709.88

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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.