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Finding the Fourth Proportional to 11,358.16, 17,039.98 and 4,786.23

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Solution

The fourth proportional to 11,358.16, 17,039.98 and 4,786.23 is: 7,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.16 : 17,039.98 = 4,786.23 : x
  2. Step 2: Convert to fraction form
    11,358.16/17,039.98 = 4,786.23/x
  3. Step 3: Cross multiply
    11,358.16x = 17,039.98 × 4,786.23
  4. Step 4: Simplify right side
    11,358.16x = 81,557,187.61
  5. Step 5: Solve for x
    x = 81,557,187.61/11,358.16
  6. Step 6: Final answer
    x = 7,180.49

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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.