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Finding the Fourth Proportional to 10,927.77, 15,086.24 and 6,679.81

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Solution

The fourth proportional to 10,927.77, 15,086.24 and 6,679.81 is: 9,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927.77 : 15,086.24 = 6,679.81 : x
  2. Step 2: Convert to fraction form
    10,927.77/15,086.24 = 6,679.81/x
  3. Step 3: Cross multiply
    10,927.77x = 15,086.24 × 6,679.81
  4. Step 4: Simplify right side
    10,927.77x = 100,773,216.81
  5. Step 5: Solve for x
    x = 100,773,216.81/10,927.77
  6. Step 6: Final answer
    x = 9,221.75

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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.