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Finding the Fourth Proportional to 10,713.78, 14,785.25 and 5,998.05

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Solution

The fourth proportional to 10,713.78, 14,785.25 and 5,998.05 is: 8,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.78 : 14,785.25 = 5,998.05 : x
  2. Step 2: Convert to fraction form
    10,713.78/14,785.25 = 5,998.05/x
  3. Step 3: Cross multiply
    10,713.78x = 14,785.25 × 5,998.05
  4. Step 4: Simplify right side
    10,713.78x = 88,682,638.77
  5. Step 5: Solve for x
    x = 88,682,638.77/10,713.78
  6. Step 6: Final answer
    x = 8,277.44

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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.