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Finding the Fourth Proportional to 10,030.28, 13,842.81 and 5,781.49

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Solution

The fourth proportional to 10,030.28, 13,842.81 and 5,781.49 is: 7,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,030.28 : 13,842.81 = 5,781.49 : x
  2. Step 2: Convert to fraction form
    10,030.28/13,842.81 = 5,781.49/x
  3. Step 3: Cross multiply
    10,030.28x = 13,842.81 × 5,781.49
  4. Step 4: Simplify right side
    10,030.28x = 80,032,067.59
  5. Step 5: Solve for x
    x = 80,032,067.59/10,030.28
  6. Step 6: Final answer
    x = 7,979.05

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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.