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Finding the Fourth Proportional to 7,706.80, 11,555.34 and 4,781.08

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Solution

The fourth proportional to 7,706.80, 11,555.34 and 4,781.08 is: 7,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.80 : 11,555.34 = 4,781.08 : x
  2. Step 2: Convert to fraction form
    7,706.80/11,555.34 = 4,781.08/x
  3. Step 3: Cross multiply
    7,706.80x = 11,555.34 × 4,781.08
  4. Step 4: Simplify right side
    7,706.80x = 55,247,004.97
  5. Step 5: Solve for x
    x = 55,247,004.97/7,706.80
  6. Step 6: Final answer
    x = 7,168.60

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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.