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Finding the Fourth Proportional to 10,777.96, 14,873.32 and 6,062.24

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Solution

The fourth proportional to 10,777.96, 14,873.32 and 6,062.24 is: 8,365.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.96 : 14,873.32 = 6,062.24 : x
  2. Step 2: Convert to fraction form
    10,777.96/14,873.32 = 6,062.24/x
  3. Step 3: Cross multiply
    10,777.96x = 14,873.32 × 6,062.24
  4. Step 4: Simplify right side
    10,777.96x = 90,165,635.44
  5. Step 5: Solve for x
    x = 90,165,635.44/10,777.96
  6. Step 6: Final answer
    x = 8,365.74

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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.