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Finding the Fourth Proportional to 10,067.32, 13,891.89 and 5,878.00

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Solution

The fourth proportional to 10,067.32, 13,891.89 and 5,878.00 is: 8,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067.32 : 13,891.89 = 5,878.00 : x
  2. Step 2: Convert to fraction form
    10,067.32/13,891.89 = 5,878.00/x
  3. Step 3: Cross multiply
    10,067.32x = 13,891.89 × 5,878.00
  4. Step 4: Simplify right side
    10,067.32x = 81,656,535.76
  5. Step 5: Solve for x
    x = 81,656,535.76/10,067.32
  6. Step 6: Final answer
    x = 8,111.05

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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.