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Finding the Fourth Proportional to 7,706.03, 11,559.09 and 2,511.90

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Solution

The fourth proportional to 7,706.03, 11,559.09 and 2,511.90 is: 3,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.03 : 11,559.09 = 2,511.90 : x
  2. Step 2: Convert to fraction form
    7,706.03/11,559.09 = 2,511.90/x
  3. Step 3: Cross multiply
    7,706.03x = 11,559.09 × 2,511.90
  4. Step 4: Simplify right side
    7,706.03x = 29,035,289.48
  5. Step 5: Solve for x
    x = 29,035,289.48/7,706.03
  6. Step 6: Final answer
    x = 3,767.87

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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.