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Finding the Fourth Proportional to 10,900.77, 16,351.17 and 3,109.58

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Solution

The fourth proportional to 10,900.77, 16,351.17 and 3,109.58 is: 4,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.77 : 16,351.17 = 3,109.58 : x
  2. Step 2: Convert to fraction form
    10,900.77/16,351.17 = 3,109.58/x
  3. Step 3: Cross multiply
    10,900.77x = 16,351.17 × 3,109.58
  4. Step 4: Simplify right side
    10,900.77x = 50,845,239.11
  5. Step 5: Solve for x
    x = 50,845,239.11/10,900.77
  6. Step 6: Final answer
    x = 4,664.37

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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.