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Finding the Fourth Proportional to 10,708.56, 14,777.71 and 5,992.88

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Solution

The fourth proportional to 10,708.56, 14,777.71 and 5,992.88 is: 8,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.56 : 14,777.71 = 5,992.88 : x
  2. Step 2: Convert to fraction form
    10,708.56/14,777.71 = 5,992.88/x
  3. Step 3: Cross multiply
    10,708.56x = 14,777.71 × 5,992.88
  4. Step 4: Simplify right side
    10,708.56x = 88,560,953.83
  5. Step 5: Solve for x
    x = 88,560,953.83/10,708.56
  6. Step 6: Final answer
    x = 8,270.11

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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.