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Finding the Fourth Proportional to 10,201.40, 14,078.04 and 5,952.68

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Solution

The fourth proportional to 10,201.40, 14,078.04 and 5,952.68 is: 8,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.40 : 14,078.04 = 5,952.68 : x
  2. Step 2: Convert to fraction form
    10,201.40/14,078.04 = 5,952.68/x
  3. Step 3: Cross multiply
    10,201.40x = 14,078.04 × 5,952.68
  4. Step 4: Simplify right side
    10,201.40x = 83,802,067.15
  5. Step 5: Solve for x
    x = 83,802,067.15/10,201.40
  6. Step 6: Final answer
    x = 8,214.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.