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Finding the Fourth Proportional to 10,871.92, 16,307.36 and 3,851.82

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Solution

The fourth proportional to 10,871.92, 16,307.36 and 3,851.82 is: 5,777.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.92 : 16,307.36 = 3,851.82 : x
  2. Step 2: Convert to fraction form
    10,871.92/16,307.36 = 3,851.82/x
  3. Step 3: Cross multiply
    10,871.92x = 16,307.36 × 3,851.82
  4. Step 4: Simplify right side
    10,871.92x = 62,812,933.86
  5. Step 5: Solve for x
    x = 62,812,933.86/10,871.92
  6. Step 6: Final answer
    x = 5,777.54

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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.