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Finding the Fourth Proportional to 11,769.66, 17,637 and 5,919

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Solution

The fourth proportional to 11,769.66, 17,637 and 5,919 is: 8,869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,769.66 : 17,637 = 5,919 : x
  2. Step 2: Convert to fraction form
    11,769.66/17,637 = 5,919/x
  3. Step 3: Cross multiply
    11,769.66x = 17,637 × 5,919
  4. Step 4: Simplify right side
    11,769.66x = 104,393,403
  5. Step 5: Solve for x
    x = 104,393,403/11,769.66
  6. Step 6: Final answer
    x = 8,869.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.