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Finding the Fourth Proportional to 10,777.82, 14,873.30 and 6,062

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Solution

The fourth proportional to 10,777.82, 14,873.30 and 6,062 is: 8,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.82 : 14,873.30 = 6,062 : x
  2. Step 2: Convert to fraction form
    10,777.82/14,873.30 = 6,062/x
  3. Step 3: Cross multiply
    10,777.82x = 14,873.30 × 6,062
  4. Step 4: Simplify right side
    10,777.82x = 90,161,944.60
  5. Step 5: Solve for x
    x = 90,161,944.60/10,777.82
  6. Step 6: Final answer
    x = 8,365.51

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Why These Related Problems?

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