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Finding the Fourth Proportional to 7,744.51, 11,616.81 and 1,901.11

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Solution

The fourth proportional to 7,744.51, 11,616.81 and 1,901.11 is: 2,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.51 : 11,616.81 = 1,901.11 : x
  2. Step 2: Convert to fraction form
    7,744.51/11,616.81 = 1,901.11/x
  3. Step 3: Cross multiply
    7,744.51x = 11,616.81 × 1,901.11
  4. Step 4: Simplify right side
    7,744.51x = 22,084,833.66
  5. Step 5: Solve for x
    x = 22,084,833.66/7,744.51
  6. Step 6: Final answer
    x = 2,851.68

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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.