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Finding the Fourth Proportional to 11,987.14, 16,542.82 and 6,681.99

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Solution

The fourth proportional to 11,987.14, 16,542.82 and 6,681.99 is: 9,221.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.14 : 16,542.82 = 6,681.99 : x
  2. Step 2: Convert to fraction form
    11,987.14/16,542.82 = 6,681.99/x
  3. Step 3: Cross multiply
    11,987.14x = 16,542.82 × 6,681.99
  4. Step 4: Simplify right side
    11,987.14x = 110,538,957.81
  5. Step 5: Solve for x
    x = 110,538,957.81/11,987.14
  6. Step 6: Final answer
    x = 9,221.46

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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.