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Finding the Fourth Proportional to 10,708.46, 14,778.08 and 5,992.77

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Solution

The fourth proportional to 10,708.46, 14,778.08 and 5,992.77 is: 8,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.46 : 14,778.08 = 5,992.77 : x
  2. Step 2: Convert to fraction form
    10,708.46/14,778.08 = 5,992.77/x
  3. Step 3: Cross multiply
    10,708.46x = 14,778.08 × 5,992.77
  4. Step 4: Simplify right side
    10,708.46x = 88,561,604.52
  5. Step 5: Solve for x
    x = 88,561,604.52/10,708.46
  6. Step 6: Final answer
    x = 8,270.25

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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.