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Finding the Fourth Proportional to 10,866.52, 16,297.34 and 5,022.28

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Solution

The fourth proportional to 10,866.52, 16,297.34 and 5,022.28 is: 7,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.52 : 16,297.34 = 5,022.28 : x
  2. Step 2: Convert to fraction form
    10,866.52/16,297.34 = 5,022.28/x
  3. Step 3: Cross multiply
    10,866.52x = 16,297.34 × 5,022.28
  4. Step 4: Simplify right side
    10,866.52x = 81,849,804.74
  5. Step 5: Solve for x
    x = 81,849,804.74/10,866.52
  6. Step 6: Final answer
    x = 7,532.29

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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.