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Finding the Fourth Proportional to 10,778.56, 14,857.46 and 9,874.60

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Solution

The fourth proportional to 10,778.56, 14,857.46 and 9,874.60 is: 13,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.56 : 14,857.46 = 9,874.60 : x
  2. Step 2: Convert to fraction form
    10,778.56/14,857.46 = 9,874.60/x
  3. Step 3: Cross multiply
    10,778.56x = 14,857.46 × 9,874.60
  4. Step 4: Simplify right side
    10,778.56x = 146,711,474.52
  5. Step 5: Solve for x
    x = 146,711,474.52/10,778.56
  6. Step 6: Final answer
    x = 13,611.42

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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.