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Finding the Fourth Proportional to 10,858.80, 16,289.36 and 3,462.64

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Solution

The fourth proportional to 10,858.80, 16,289.36 and 3,462.64 is: 5,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.80 : 16,289.36 = 3,462.64 : x
  2. Step 2: Convert to fraction form
    10,858.80/16,289.36 = 3,462.64/x
  3. Step 3: Cross multiply
    10,858.80x = 16,289.36 × 3,462.64
  4. Step 4: Simplify right side
    10,858.80x = 56,404,189.51
  5. Step 5: Solve for x
    x = 56,404,189.51/10,858.80
  6. Step 6: Final answer
    x = 5,194.33

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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.