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Finding the Fourth Proportional to 11,553.06, 17,357.34 and 7,401.14

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Solution

The fourth proportional to 11,553.06, 17,357.34 and 7,401.14 is: 11,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.06 : 17,357.34 = 7,401.14 : x
  2. Step 2: Convert to fraction form
    11,553.06/17,357.34 = 7,401.14/x
  3. Step 3: Cross multiply
    11,553.06x = 17,357.34 × 7,401.14
  4. Step 4: Simplify right side
    11,553.06x = 128,464,103.37
  5. Step 5: Solve for x
    x = 128,464,103.37/11,553.06
  6. Step 6: Final answer
    x = 11,119.49

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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.