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Finding the Fourth Proportional to 10,866.14, 16,298.16 and 3,469.29

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Solution

The fourth proportional to 10,866.14, 16,298.16 and 3,469.29 is: 5,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.14 : 16,298.16 = 3,469.29 : x
  2. Step 2: Convert to fraction form
    10,866.14/16,298.16 = 3,469.29/x
  3. Step 3: Cross multiply
    10,866.14x = 16,298.16 × 3,469.29
  4. Step 4: Simplify right side
    10,866.14x = 56,543,043.51
  5. Step 5: Solve for x
    x = 56,543,043.51/10,866.14
  6. Step 6: Final answer
    x = 5,203.60

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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.