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Finding the Fourth Proportional to 11,678.52, 17,506.84 and 3,885.52

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Solution

The fourth proportional to 11,678.52, 17,506.84 and 3,885.52 is: 5,824.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.52 : 17,506.84 = 3,885.52 : x
  2. Step 2: Convert to fraction form
    11,678.52/17,506.84 = 3,885.52/x
  3. Step 3: Cross multiply
    11,678.52x = 17,506.84 × 3,885.52
  4. Step 4: Simplify right side
    11,678.52x = 68,023,176.96
  5. Step 5: Solve for x
    x = 68,023,176.96/11,678.52
  6. Step 6: Final answer
    x = 5,824.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.