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Finding the Fourth Proportional to 10,997.52, 15,175.80 and 6,218.25

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Solution

The fourth proportional to 10,997.52, 15,175.80 and 6,218.25 is: 8,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.52 : 15,175.80 = 6,218.25 : x
  2. Step 2: Convert to fraction form
    10,997.52/15,175.80 = 6,218.25/x
  3. Step 3: Cross multiply
    10,997.52x = 15,175.80 × 6,218.25
  4. Step 4: Simplify right side
    10,997.52x = 94,366,918.35
  5. Step 5: Solve for x
    x = 94,366,918.35/10,997.52
  6. Step 6: Final answer
    x = 8,580.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.