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Finding the Fourth Proportional to 11,151.80, 16,725 and 3,754.34

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Solution

The fourth proportional to 11,151.80, 16,725 and 3,754.34 is: 5,630.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.80 : 16,725 = 3,754.34 : x
  2. Step 2: Convert to fraction form
    11,151.80/16,725 = 3,754.34/x
  3. Step 3: Cross multiply
    11,151.80x = 16,725 × 3,754.34
  4. Step 4: Simplify right side
    11,151.80x = 62,791,336.50
  5. Step 5: Solve for x
    x = 62,791,336.50/11,151.80
  6. Step 6: Final answer
    x = 5,630.60

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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.