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Finding the Fourth Proportional to 10,778.16, 16,154.28 and 5,847.60

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Solution

The fourth proportional to 10,778.16, 16,154.28 and 5,847.60 is: 8,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.16 : 16,154.28 = 5,847.60 : x
  2. Step 2: Convert to fraction form
    10,778.16/16,154.28 = 5,847.60/x
  3. Step 3: Cross multiply
    10,778.16x = 16,154.28 × 5,847.60
  4. Step 4: Simplify right side
    10,778.16x = 94,463,767.73
  5. Step 5: Solve for x
    x = 94,463,767.73/10,778.16
  6. Step 6: Final answer
    x = 8,764.37

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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.