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Finding the Fourth Proportional to 10,480.82, 15,706.90 and 5,793.88

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Solution

The fourth proportional to 10,480.82, 15,706.90 and 5,793.88 is: 8,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.82 : 15,706.90 = 5,793.88 : x
  2. Step 2: Convert to fraction form
    10,480.82/15,706.90 = 5,793.88/x
  3. Step 3: Cross multiply
    10,480.82x = 15,706.90 × 5,793.88
  4. Step 4: Simplify right side
    10,480.82x = 91,003,893.77
  5. Step 5: Solve for x
    x = 91,003,893.77/10,480.82
  6. Step 6: Final answer
    x = 8,682.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.