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Finding the Fourth Proportional to 11,952.20, 16,493.62 and 6,646.90

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Solution

The fourth proportional to 11,952.20, 16,493.62 and 6,646.90 is: 9,172.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.20 : 16,493.62 = 6,646.90 : x
  2. Step 2: Convert to fraction form
    11,952.20/16,493.62 = 6,646.90/x
  3. Step 3: Cross multiply
    11,952.20x = 16,493.62 × 6,646.90
  4. Step 4: Simplify right side
    11,952.20x = 109,631,442.78
  5. Step 5: Solve for x
    x = 109,631,442.78/11,952.20
  6. Step 6: Final answer
    x = 9,172.49

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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.