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Finding the Fourth Proportional to 11,797.53, 17,677.94 and 4,400.01

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Solution

The fourth proportional to 11,797.53, 17,677.94 and 4,400.01 is: 6,593.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,797.53 : 17,677.94 = 4,400.01 : x
  2. Step 2: Convert to fraction form
    11,797.53/17,677.94 = 4,400.01/x
  3. Step 3: Cross multiply
    11,797.53x = 17,677.94 × 4,400.01
  4. Step 4: Simplify right side
    11,797.53x = 77,783,090.78
  5. Step 5: Solve for x
    x = 77,783,090.78/11,797.53
  6. Step 6: Final answer
    x = 6,593.17

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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.