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Finding the Fourth Proportional to 11,774.10, 16,249.11 and 7,788.30

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Solution

The fourth proportional to 11,774.10, 16,249.11 and 7,788.30 is: 10,748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.10 : 16,249.11 = 7,788.30 : x
  2. Step 2: Convert to fraction form
    11,774.10/16,249.11 = 7,788.30/x
  3. Step 3: Cross multiply
    11,774.10x = 16,249.11 × 7,788.30
  4. Step 4: Simplify right side
    11,774.10x = 126,552,943.41
  5. Step 5: Solve for x
    x = 126,552,943.41/11,774.10
  6. Step 6: Final answer
    x = 10,748.42

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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.