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Finding the Fourth Proportional to 11,642.72, 16,067.34 and 6,607.17

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Solution

The fourth proportional to 11,642.72, 16,067.34 and 6,607.17 is: 9,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.72 : 16,067.34 = 6,607.17 : x
  2. Step 2: Convert to fraction form
    11,642.72/16,067.34 = 6,607.17/x
  3. Step 3: Cross multiply
    11,642.72x = 16,067.34 × 6,607.17
  4. Step 4: Simplify right side
    11,642.72x = 106,159,646.83
  5. Step 5: Solve for x
    x = 106,159,646.83/11,642.72
  6. Step 6: Final answer
    x = 9,118.12

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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.