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Finding the Fourth Proportional to 7,781.14, 11,666.22 and 3,882.79

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Solution

The fourth proportional to 7,781.14, 11,666.22 and 3,882.79 is: 5,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.14 : 11,666.22 = 3,882.79 : x
  2. Step 2: Convert to fraction form
    7,781.14/11,666.22 = 3,882.79/x
  3. Step 3: Cross multiply
    7,781.14x = 11,666.22 × 3,882.79
  4. Step 4: Simplify right side
    7,781.14x = 45,297,482.35
  5. Step 5: Solve for x
    x = 45,297,482.35/7,781.14
  6. Step 6: Final answer
    x = 5,821.45

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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.