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Finding the Fourth Proportional to 11,643.47, 16,067.49 and 6,607.58

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Solution

The fourth proportional to 11,643.47, 16,067.49 and 6,607.58 is: 9,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.47 : 16,067.49 = 6,607.58 : x
  2. Step 2: Convert to fraction form
    11,643.47/16,067.49 = 6,607.58/x
  3. Step 3: Cross multiply
    11,643.47x = 16,067.49 × 6,607.58
  4. Step 4: Simplify right side
    11,643.47x = 106,167,145.24
  5. Step 5: Solve for x
    x = 106,167,145.24/11,643.47
  6. Step 6: Final answer
    x = 9,118.17

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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.