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Finding the Fourth Proportional to 7,723.78, 10,658.82 and 4,187

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Solution

The fourth proportional to 7,723.78, 10,658.82 and 4,187 is: 5,778.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.78 : 10,658.82 = 4,187 : x
  2. Step 2: Convert to fraction form
    7,723.78/10,658.82 = 4,187/x
  3. Step 3: Cross multiply
    7,723.78x = 10,658.82 × 4,187
  4. Step 4: Simplify right side
    7,723.78x = 44,628,479.34
  5. Step 5: Solve for x
    x = 44,628,479.34/7,723.78
  6. Step 6: Final answer
    x = 5,778.06

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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.