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Finding the Fourth Proportional to 8,175.52, 12,258.96 and 3,556

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Solution

The fourth proportional to 8,175.52, 12,258.96 and 3,556 is: 5,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.52 : 12,258.96 = 3,556 : x
  2. Step 2: Convert to fraction form
    8,175.52/12,258.96 = 3,556/x
  3. Step 3: Cross multiply
    8,175.52x = 12,258.96 × 3,556
  4. Step 4: Simplify right side
    8,175.52x = 43,592,861.76
  5. Step 5: Solve for x
    x = 43,592,861.76/8,175.52
  6. Step 6: Final answer
    x = 5,332.12

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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.