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Finding the Fourth Proportional to 10,256.96, 15,383.92 and 2,860.64

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Solution

The fourth proportional to 10,256.96, 15,383.92 and 2,860.64 is: 4,290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.96 : 15,383.92 = 2,860.64 : x
  2. Step 2: Convert to fraction form
    10,256.96/15,383.92 = 2,860.64/x
  3. Step 3: Cross multiply
    10,256.96x = 15,383.92 × 2,860.64
  4. Step 4: Simplify right side
    10,256.96x = 44,007,856.91
  5. Step 5: Solve for x
    x = 44,007,856.91/10,256.96
  6. Step 6: Final answer
    x = 4,290.54

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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.