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Finding the Fourth Proportional to 11,773.48, 17,658.09 and 4,753.20

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Solution

The fourth proportional to 11,773.48, 17,658.09 and 4,753.20 is: 7,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.48 : 17,658.09 = 4,753.20 : x
  2. Step 2: Convert to fraction form
    11,773.48/17,658.09 = 4,753.20/x
  3. Step 3: Cross multiply
    11,773.48x = 17,658.09 × 4,753.20
  4. Step 4: Simplify right side
    11,773.48x = 83,932,433.39
  5. Step 5: Solve for x
    x = 83,932,433.39/11,773.48
  6. Step 6: Final answer
    x = 7,128.94

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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.