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Finding the Fourth Proportional to 10,069.71, 15,104.56 and 3,500.50

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Solution

The fourth proportional to 10,069.71, 15,104.56 and 3,500.50 is: 5,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.71 : 15,104.56 = 3,500.50 : x
  2. Step 2: Convert to fraction form
    10,069.71/15,104.56 = 3,500.50/x
  3. Step 3: Cross multiply
    10,069.71x = 15,104.56 × 3,500.50
  4. Step 4: Simplify right side
    10,069.71x = 52,873,512.28
  5. Step 5: Solve for x
    x = 52,873,512.28/10,069.71
  6. Step 6: Final answer
    x = 5,250.75

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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.