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Finding the Fourth Proportional to 10,402.85, 15,611.79 and 4,164.60

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Solution

The fourth proportional to 10,402.85, 15,611.79 and 4,164.60 is: 6,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.85 : 15,611.79 = 4,164.60 : x
  2. Step 2: Convert to fraction form
    10,402.85/15,611.79 = 4,164.60/x
  3. Step 3: Cross multiply
    10,402.85x = 15,611.79 × 4,164.60
  4. Step 4: Simplify right side
    10,402.85x = 65,016,860.63
  5. Step 5: Solve for x
    x = 65,016,860.63/10,402.85
  6. Step 6: Final answer
    x = 6,249.91

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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.