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Finding the Fourth Proportional to 7,778.08, 11,658.72 and 3,832.08

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Solution

The fourth proportional to 7,778.08, 11,658.72 and 3,832.08 is: 5,743.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.08 : 11,658.72 = 3,832.08 : x
  2. Step 2: Convert to fraction form
    7,778.08/11,658.72 = 3,832.08/x
  3. Step 3: Cross multiply
    7,778.08x = 11,658.72 × 3,832.08
  4. Step 4: Simplify right side
    7,778.08x = 44,677,147.74
  5. Step 5: Solve for x
    x = 44,677,147.74/7,778.08
  6. Step 6: Final answer
    x = 5,743.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.