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Finding the Fourth Proportional to 11,646.49, 17,472.02 and 3,751.08

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Solution

The fourth proportional to 11,646.49, 17,472.02 and 3,751.08 is: 5,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.49 : 17,472.02 = 3,751.08 : x
  2. Step 2: Convert to fraction form
    11,646.49/17,472.02 = 3,751.08/x
  3. Step 3: Cross multiply
    11,646.49x = 17,472.02 × 3,751.08
  4. Step 4: Simplify right side
    11,646.49x = 65,538,926.03
  5. Step 5: Solve for x
    x = 65,538,926.03/11,646.49
  6. Step 6: Final answer
    x = 5,627.36

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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.