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Finding the Fourth Proportional to 10,486.04, 15,734.54 and 4,250.66

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Solution

The fourth proportional to 10,486.04, 15,734.54 and 4,250.66 is: 6,378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.04 : 15,734.54 = 4,250.66 : x
  2. Step 2: Convert to fraction form
    10,486.04/15,734.54 = 4,250.66/x
  3. Step 3: Cross multiply
    10,486.04x = 15,734.54 × 4,250.66
  4. Step 4: Simplify right side
    10,486.04x = 66,882,197.88
  5. Step 5: Solve for x
    x = 66,882,197.88/10,486.04
  6. Step 6: Final answer
    x = 6,378.21

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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.