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Finding the Fourth Proportional to 11,044.74, 16,564.78 and 3,647.51

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Solution

The fourth proportional to 11,044.74, 16,564.78 and 3,647.51 is: 5,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,044.74 : 16,564.78 = 3,647.51 : x
  2. Step 2: Convert to fraction form
    11,044.74/16,564.78 = 3,647.51/x
  3. Step 3: Cross multiply
    11,044.74x = 16,564.78 × 3,647.51
  4. Step 4: Simplify right side
    11,044.74x = 60,420,232.99
  5. Step 5: Solve for x
    x = 60,420,232.99/11,044.74
  6. Step 6: Final answer
    x = 5,470.50

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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.