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Finding the Fourth Proportional to 10,266.76, 15,395.82 and 3,940.60

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Solution

The fourth proportional to 10,266.76, 15,395.82 and 3,940.60 is: 5,909.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.76 : 15,395.82 = 3,940.60 : x
  2. Step 2: Convert to fraction form
    10,266.76/15,395.82 = 3,940.60/x
  3. Step 3: Cross multiply
    10,266.76x = 15,395.82 × 3,940.60
  4. Step 4: Simplify right side
    10,266.76x = 60,668,768.29
  5. Step 5: Solve for x
    x = 60,668,768.29/10,266.76
  6. Step 6: Final answer
    x = 5,909.24

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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.