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Finding the Fourth Proportional to 11,643.19, 16,067.13 and 6,338.01

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Solution

The fourth proportional to 11,643.19, 16,067.13 and 6,338.01 is: 8,746.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.19 : 16,067.13 = 6,338.01 : x
  2. Step 2: Convert to fraction form
    11,643.19/16,067.13 = 6,338.01/x
  3. Step 3: Cross multiply
    11,643.19x = 16,067.13 × 6,338.01
  4. Step 4: Simplify right side
    11,643.19x = 101,833,630.61
  5. Step 5: Solve for x
    x = 101,833,630.61/11,643.19
  6. Step 6: Final answer
    x = 8,746.20

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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.