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Finding the Fourth Proportional to 10,885.34, 16,335.30 and 3,959.84

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Solution

The fourth proportional to 10,885.34, 16,335.30 and 3,959.84 is: 5,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,885.34 : 16,335.30 = 3,959.84 : x
  2. Step 2: Convert to fraction form
    10,885.34/16,335.30 = 3,959.84/x
  3. Step 3: Cross multiply
    10,885.34x = 16,335.30 × 3,959.84
  4. Step 4: Simplify right side
    10,885.34x = 64,685,215.19
  5. Step 5: Solve for x
    x = 64,685,215.19/10,885.34
  6. Step 6: Final answer
    x = 5,942.41

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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.