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Finding the Fourth Proportional to 11,781.78, 16,258.75 and 6,476.86

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Solution

The fourth proportional to 11,781.78, 16,258.75 and 6,476.86 is: 8,938.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.78 : 16,258.75 = 6,476.86 : x
  2. Step 2: Convert to fraction form
    11,781.78/16,258.75 = 6,476.86/x
  3. Step 3: Cross multiply
    11,781.78x = 16,258.75 × 6,476.86
  4. Step 4: Simplify right side
    11,781.78x = 105,305,647.53
  5. Step 5: Solve for x
    x = 105,305,647.53/11,781.78
  6. Step 6: Final answer
    x = 8,938.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.