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Finding the Fourth Proportional to 7,767.18, 10,711.22 and 5,220.68

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Solution

The fourth proportional to 7,767.18, 10,711.22 and 5,220.68 is: 7,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.18 : 10,711.22 = 5,220.68 : x
  2. Step 2: Convert to fraction form
    7,767.18/10,711.22 = 5,220.68/x
  3. Step 3: Cross multiply
    7,767.18x = 10,711.22 × 5,220.68
  4. Step 4: Simplify right side
    7,767.18x = 55,919,852.03
  5. Step 5: Solve for x
    x = 55,919,852.03/7,767.18
  6. Step 6: Final answer
    x = 7,199.51

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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.