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Finding the Fourth Proportional to 11,987.52, 16,542.24 and 6,682.16

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Solution

The fourth proportional to 11,987.52, 16,542.24 and 6,682.16 is: 9,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.52 : 16,542.24 = 6,682.16 : x
  2. Step 2: Convert to fraction form
    11,987.52/16,542.24 = 6,682.16/x
  3. Step 3: Cross multiply
    11,987.52x = 16,542.24 × 6,682.16
  4. Step 4: Simplify right side
    11,987.52x = 110,537,894.44
  5. Step 5: Solve for x
    x = 110,537,894.44/11,987.52
  6. Step 6: Final answer
    x = 9,221.08

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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.