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Finding the Fourth Proportional to 11,722.79, 17,585.73 and 3,822.53

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Solution

The fourth proportional to 11,722.79, 17,585.73 and 3,822.53 is: 5,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,722.79 : 17,585.73 = 3,822.53 : x
  2. Step 2: Convert to fraction form
    11,722.79/17,585.73 = 3,822.53/x
  3. Step 3: Cross multiply
    11,722.79x = 17,585.73 × 3,822.53
  4. Step 4: Simplify right side
    11,722.79x = 67,221,961.38
  5. Step 5: Solve for x
    x = 67,221,961.38/11,722.79
  6. Step 6: Final answer
    x = 5,734.30

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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.