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Finding the Fourth Proportional to 11,781.64, 16,258.66 and 6,747.53

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Solution

The fourth proportional to 11,781.64, 16,258.66 and 6,747.53 is: 9,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.64 : 16,258.66 = 6,747.53 : x
  2. Step 2: Convert to fraction form
    11,781.64/16,258.66 = 6,747.53/x
  3. Step 3: Cross multiply
    11,781.64x = 16,258.66 × 6,747.53
  4. Step 4: Simplify right side
    11,781.64x = 109,705,697.95
  5. Step 5: Solve for x
    x = 109,705,697.95/11,781.64
  6. Step 6: Final answer
    x = 9,311.58

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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.