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Finding the Fourth Proportional to 11,564.50, 17,347.02 and 3,773.29

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Solution

The fourth proportional to 11,564.50, 17,347.02 and 3,773.29 is: 5,660.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.50 : 17,347.02 = 3,773.29 : x
  2. Step 2: Convert to fraction form
    11,564.50/17,347.02 = 3,773.29/x
  3. Step 3: Cross multiply
    11,564.50x = 17,347.02 × 3,773.29
  4. Step 4: Simplify right side
    11,564.50x = 65,455,337.10
  5. Step 5: Solve for x
    x = 65,455,337.10/11,564.50
  6. Step 6: Final answer
    x = 5,660.02

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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.