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Finding the Fourth Proportional to 10,866.80, 16,301.48 and 3,845.36

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Solution

The fourth proportional to 10,866.80, 16,301.48 and 3,845.36 is: 5,768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.80 : 16,301.48 = 3,845.36 : x
  2. Step 2: Convert to fraction form
    10,866.80/16,301.48 = 3,845.36/x
  3. Step 3: Cross multiply
    10,866.80x = 16,301.48 × 3,845.36
  4. Step 4: Simplify right side
    10,866.80x = 62,685,059.13
  5. Step 5: Solve for x
    x = 62,685,059.13/10,866.80
  6. Step 6: Final answer
    x = 5,768.49

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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.