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Finding the Fourth Proportional to 11,572.36, 17,344.62 and 6,645.16

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Solution

The fourth proportional to 11,572.36, 17,344.62 and 6,645.16 is: 9,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.36 : 17,344.62 = 6,645.16 : x
  2. Step 2: Convert to fraction form
    11,572.36/17,344.62 = 6,645.16/x
  3. Step 3: Cross multiply
    11,572.36x = 17,344.62 × 6,645.16
  4. Step 4: Simplify right side
    11,572.36x = 115,257,775.04
  5. Step 5: Solve for x
    x = 115,257,775.04/11,572.36
  6. Step 6: Final answer
    x = 9,959.75

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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.