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Finding the Fourth Proportional to 11,781.98, 16,261.95 and 6,749.12

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Solution

The fourth proportional to 11,781.98, 16,261.95 and 6,749.12 is: 9,315.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.98 : 16,261.95 = 6,749.12 : x
  2. Step 2: Convert to fraction form
    11,781.98/16,261.95 = 6,749.12/x
  3. Step 3: Cross multiply
    11,781.98x = 16,261.95 × 6,749.12
  4. Step 4: Simplify right side
    11,781.98x = 109,753,770.67
  5. Step 5: Solve for x
    x = 109,753,770.67/11,781.98
  6. Step 6: Final answer
    x = 9,315.40

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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.