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Finding the Fourth Proportional to 11,047, 16,566.45 and 3,649.27

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Solution

The fourth proportional to 11,047, 16,566.45 and 3,649.27 is: 5,472.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047 : 16,566.45 = 3,649.27 : x
  2. Step 2: Convert to fraction form
    11,047/16,566.45 = 3,649.27/x
  3. Step 3: Cross multiply
    11,047x = 16,566.45 × 3,649.27
  4. Step 4: Simplify right side
    11,047x = 60,455,448.99
  5. Step 5: Solve for x
    x = 60,455,448.99/11,047
  6. Step 6: Final answer
    x = 5,472.57

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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.