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Finding the Fourth Proportional to 7,778.34, 11,656.17 and 3,877.38

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Solution

The fourth proportional to 7,778.34, 11,656.17 and 3,877.38 is: 5,810.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.34 : 11,656.17 = 3,877.38 : x
  2. Step 2: Convert to fraction form
    7,778.34/11,656.17 = 3,877.38/x
  3. Step 3: Cross multiply
    7,778.34x = 11,656.17 × 3,877.38
  4. Step 4: Simplify right side
    7,778.34x = 45,195,400.43
  5. Step 5: Solve for x
    x = 45,195,400.43/7,778.34
  6. Step 6: Final answer
    x = 5,810.42

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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.