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Finding the Fourth Proportional to 11,552.98, 15,947.20 and 6,837.25

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Solution

The fourth proportional to 11,552.98, 15,947.20 and 6,837.25 is: 9,437.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.98 : 15,947.20 = 6,837.25 : x
  2. Step 2: Convert to fraction form
    11,552.98/15,947.20 = 6,837.25/x
  3. Step 3: Cross multiply
    11,552.98x = 15,947.20 × 6,837.25
  4. Step 4: Simplify right side
    11,552.98x = 109,034,993.20
  5. Step 5: Solve for x
    x = 109,034,993.20/11,552.98
  6. Step 6: Final answer
    x = 9,437.82

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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.