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Finding the Fourth Proportional to 11,723.84, 17,585.87 and 4,608.80

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Solution

The fourth proportional to 11,723.84, 17,585.87 and 4,608.80 is: 6,913.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,723.84 : 17,585.87 = 4,608.80 : x
  2. Step 2: Convert to fraction form
    11,723.84/17,585.87 = 4,608.80/x
  3. Step 3: Cross multiply
    11,723.84x = 17,585.87 × 4,608.80
  4. Step 4: Simplify right side
    11,723.84x = 81,049,745.04
  5. Step 5: Solve for x
    x = 81,049,745.04/11,723.84
  6. Step 6: Final answer
    x = 6,913.24

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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.