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Finding the Fourth Proportional to 7,763.66, 10,706.40 and 5,217.18

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Solution

The fourth proportional to 7,763.66, 10,706.40 and 5,217.18 is: 7,194.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.66 : 10,706.40 = 5,217.18 : x
  2. Step 2: Convert to fraction form
    7,763.66/10,706.40 = 5,217.18/x
  3. Step 3: Cross multiply
    7,763.66x = 10,706.40 × 5,217.18
  4. Step 4: Simplify right side
    7,763.66x = 55,857,215.95
  5. Step 5: Solve for x
    x = 55,857,215.95/7,763.66
  6. Step 6: Final answer
    x = 7,194.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.