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Finding the Fourth Proportional to 11,541, 17,314.11 and 3,643.46

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Solution

The fourth proportional to 11,541, 17,314.11 and 3,643.46 is: 5,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,541 : 17,314.11 = 3,643.46 : x
  2. Step 2: Convert to fraction form
    11,541/17,314.11 = 3,643.46/x
  3. Step 3: Cross multiply
    11,541x = 17,314.11 × 3,643.46
  4. Step 4: Simplify right side
    11,541x = 63,083,180.65
  5. Step 5: Solve for x
    x = 63,083,180.65/11,541
  6. Step 6: Final answer
    x = 5,466.01

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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.