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Finding the Fourth Proportional to 11,262.24, 16,893.40 and 6,642

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Solution

The fourth proportional to 11,262.24, 16,893.40 and 6,642 is: 9,963.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.24 : 16,893.40 = 6,642 : x
  2. Step 2: Convert to fraction form
    11,262.24/16,893.40 = 6,642/x
  3. Step 3: Cross multiply
    11,262.24x = 16,893.40 × 6,642
  4. Step 4: Simplify right side
    11,262.24x = 112,205,962.80
  5. Step 5: Solve for x
    x = 112,205,962.80/11,262.24
  6. Step 6: Final answer
    x = 9,963.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.