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Finding the Fourth Proportional to 11,645.52, 17,465.20 and 7,947.08

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Solution

The fourth proportional to 11,645.52, 17,465.20 and 7,947.08 is: 11,918.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.52 : 17,465.20 = 7,947.08 : x
  2. Step 2: Convert to fraction form
    11,645.52/17,465.20 = 7,947.08/x
  3. Step 3: Cross multiply
    11,645.52x = 17,465.20 × 7,947.08
  4. Step 4: Simplify right side
    11,645.52x = 138,797,341.62
  5. Step 5: Solve for x
    x = 138,797,341.62/11,645.52
  6. Step 6: Final answer
    x = 11,918.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.