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Finding the Fourth Proportional to 10,858.64, 16,287.20 and 3,462.80

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Solution

The fourth proportional to 10,858.64, 16,287.20 and 3,462.80 is: 5,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.64 : 16,287.20 = 3,462.80 : x
  2. Step 2: Convert to fraction form
    10,858.64/16,287.20 = 3,462.80/x
  3. Step 3: Cross multiply
    10,858.64x = 16,287.20 × 3,462.80
  4. Step 4: Simplify right side
    10,858.64x = 56,399,316.16
  5. Step 5: Solve for x
    x = 56,399,316.16/10,858.64
  6. Step 6: Final answer
    x = 5,193.96

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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.