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Finding the Fourth Proportional to 11,774.49, 16,249.71 and 6,740.30

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Solution

The fourth proportional to 11,774.49, 16,249.71 and 6,740.30 is: 9,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.49 : 16,249.71 = 6,740.30 : x
  2. Step 2: Convert to fraction form
    11,774.49/16,249.71 = 6,740.30/x
  3. Step 3: Cross multiply
    11,774.49x = 16,249.71 × 6,740.30
  4. Step 4: Simplify right side
    11,774.49x = 109,527,839.06
  5. Step 5: Solve for x
    x = 109,527,839.06/11,774.49
  6. Step 6: Final answer
    x = 9,302.13

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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.