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Finding the Fourth Proportional to 10,043.40, 15,062.40 and 4,198.80

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Solution

The fourth proportional to 10,043.40, 15,062.40 and 4,198.80 is: 6,297.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,043.40 : 15,062.40 = 4,198.80 : x
  2. Step 2: Convert to fraction form
    10,043.40/15,062.40 = 4,198.80/x
  3. Step 3: Cross multiply
    10,043.40x = 15,062.40 × 4,198.80
  4. Step 4: Simplify right side
    10,043.40x = 63,244,005.12
  5. Step 5: Solve for x
    x = 63,244,005.12/10,043.40
  6. Step 6: Final answer
    x = 6,297.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.