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Finding the Fourth Proportional to 11,395.82, 17,093.12 and 3,076.11

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Solution

The fourth proportional to 11,395.82, 17,093.12 and 3,076.11 is: 4,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.82 : 17,093.12 = 3,076.11 : x
  2. Step 2: Convert to fraction form
    11,395.82/17,093.12 = 3,076.11/x
  3. Step 3: Cross multiply
    11,395.82x = 17,093.12 × 3,076.11
  4. Step 4: Simplify right side
    11,395.82x = 52,580,301.98
  5. Step 5: Solve for x
    x = 52,580,301.98/11,395.82
  6. Step 6: Final answer
    x = 4,614.00

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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.