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Finding the Fourth Proportional to 11,781.70, 16,258.70 and 6,404.19

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Solution

The fourth proportional to 11,781.70, 16,258.70 and 6,404.19 is: 8,837.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.70 : 16,258.70 = 6,404.19 : x
  2. Step 2: Convert to fraction form
    11,781.70/16,258.70 = 6,404.19/x
  3. Step 3: Cross multiply
    11,781.70x = 16,258.70 × 6,404.19
  4. Step 4: Simplify right side
    11,781.70x = 104,123,786.71
  5. Step 5: Solve for x
    x = 104,123,786.71/11,781.70
  6. Step 6: Final answer
    x = 8,837.75

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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.