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Finding the Fourth Proportional to 10,107.29, 13,948.22 and 5,801.09

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Solution

The fourth proportional to 10,107.29, 13,948.22 and 5,801.09 is: 8,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.29 : 13,948.22 = 5,801.09 : x
  2. Step 2: Convert to fraction form
    10,107.29/13,948.22 = 5,801.09/x
  3. Step 3: Cross multiply
    10,107.29x = 13,948.22 × 5,801.09
  4. Step 4: Simplify right side
    10,107.29x = 80,914,780.81
  5. Step 5: Solve for x
    x = 80,914,780.81/10,107.29
  6. Step 6: Final answer
    x = 8,005.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.