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Finding the Fourth Proportional to 7,771.02, 10,711.89 and 5,778.42

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Solution

The fourth proportional to 7,771.02, 10,711.89 and 5,778.42 is: 7,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.02 : 10,711.89 = 5,778.42 : x
  2. Step 2: Convert to fraction form
    7,771.02/10,711.89 = 5,778.42/x
  3. Step 3: Cross multiply
    7,771.02x = 10,711.89 × 5,778.42
  4. Step 4: Simplify right side
    7,771.02x = 61,897,799.41
  5. Step 5: Solve for x
    x = 61,897,799.41/7,771.02
  6. Step 6: Final answer
    x = 7,965.21

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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.