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Finding the Fourth Proportional to 10,686.44, 16,033.17 and 5,139.07

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Solution

The fourth proportional to 10,686.44, 16,033.17 and 5,139.07 is: 7,710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.44 : 16,033.17 = 5,139.07 : x
  2. Step 2: Convert to fraction form
    10,686.44/16,033.17 = 5,139.07/x
  3. Step 3: Cross multiply
    10,686.44x = 16,033.17 × 5,139.07
  4. Step 4: Simplify right side
    10,686.44x = 82,395,477.09
  5. Step 5: Solve for x
    x = 82,395,477.09/10,686.44
  6. Step 6: Final answer
    x = 7,710.29

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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.