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Finding the Fourth Proportional to 10,803.82, 14,921.68 and 7,212.52

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Solution

The fourth proportional to 10,803.82, 14,921.68 and 7,212.52 is: 9,961.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,803.82 : 14,921.68 = 7,212.52 : x
  2. Step 2: Convert to fraction form
    10,803.82/14,921.68 = 7,212.52/x
  3. Step 3: Cross multiply
    10,803.82x = 14,921.68 × 7,212.52
  4. Step 4: Simplify right side
    10,803.82x = 107,622,879.37
  5. Step 5: Solve for x
    x = 107,622,879.37/10,803.82
  6. Step 6: Final answer
    x = 9,961.56

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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.