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Finding the Fourth Proportional to 11,775.46, 17,658.54 and 5,197

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Solution

The fourth proportional to 11,775.46, 17,658.54 and 5,197 is: 7,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.46 : 17,658.54 = 5,197 : x
  2. Step 2: Convert to fraction form
    11,775.46/17,658.54 = 5,197/x
  3. Step 3: Cross multiply
    11,775.46x = 17,658.54 × 5,197
  4. Step 4: Simplify right side
    11,775.46x = 91,771,432.38
  5. Step 5: Solve for x
    x = 91,771,432.38/11,775.46
  6. Step 6: Final answer
    x = 7,793.45

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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.