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Finding the Fourth Proportional to 11,744.38, 16,208.00 and 7,758.51

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Solution

The fourth proportional to 11,744.38, 16,208.00 and 7,758.51 is: 10,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.38 : 16,208.00 = 7,758.51 : x
  2. Step 2: Convert to fraction form
    11,744.38/16,208.00 = 7,758.51/x
  3. Step 3: Cross multiply
    11,744.38x = 16,208.00 × 7,758.51
  4. Step 4: Simplify right side
    11,744.38x = 125,749,810.25
  5. Step 5: Solve for x
    x = 125,749,810.25/11,744.38
  6. Step 6: Final answer
    x = 10,707.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.