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Finding the Fourth Proportional to 10,044.47, 15,069.75 and 3,806.39

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Solution

The fourth proportional to 10,044.47, 15,069.75 and 3,806.39 is: 5,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,044.47 : 15,069.75 = 3,806.39 : x
  2. Step 2: Convert to fraction form
    10,044.47/15,069.75 = 3,806.39/x
  3. Step 3: Cross multiply
    10,044.47x = 15,069.75 × 3,806.39
  4. Step 4: Simplify right side
    10,044.47x = 57,361,369.10
  5. Step 5: Solve for x
    x = 57,361,369.10/10,044.47
  6. Step 6: Final answer
    x = 5,710.74

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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.