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Finding the Fourth Proportional to 10,067.60, 15,092.76 and 3,490.40

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Solution

The fourth proportional to 10,067.60, 15,092.76 and 3,490.40 is: 5,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.60 : 15,092.76 = 3,490.40 : x
  2. Step 2: Convert to fraction form
    10,067.60/15,092.76 = 3,490.40/x
  3. Step 3: Cross multiply
    10,067.60x = 15,092.76 × 3,490.40
  4. Step 4: Simplify right side
    10,067.60x = 52,679,769.50
  5. Step 5: Solve for x
    x = 52,679,769.50/10,067.60
  6. Step 6: Final answer
    x = 5,232.60

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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.