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Finding the Fourth Proportional to 11,643.46, 17,459.84 and 3,744.52

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Solution

The fourth proportional to 11,643.46, 17,459.84 and 3,744.52 is: 5,615.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.46 : 17,459.84 = 3,744.52 : x
  2. Step 2: Convert to fraction form
    11,643.46/17,459.84 = 3,744.52/x
  3. Step 3: Cross multiply
    11,643.46x = 17,459.84 × 3,744.52
  4. Step 4: Simplify right side
    11,643.46x = 65,378,720.08
  5. Step 5: Solve for x
    x = 65,378,720.08/11,643.46
  6. Step 6: Final answer
    x = 5,615.06

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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.