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Finding the Fourth Proportional to 11,706, 17,559.80 and 3,913.80

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Solution

The fourth proportional to 11,706, 17,559.80 and 3,913.80 is: 5,870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706 : 17,559.80 = 3,913.80 : x
  2. Step 2: Convert to fraction form
    11,706/17,559.80 = 3,913.80/x
  3. Step 3: Cross multiply
    11,706x = 17,559.80 × 3,913.80
  4. Step 4: Simplify right side
    11,706x = 68,725,545.24
  5. Step 5: Solve for x
    x = 68,725,545.24/11,706
  6. Step 6: Final answer
    x = 5,870.97

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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.