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Finding the Fourth Proportional to 6,996.25, 10,491.85 and 2,315.39

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Solution

The fourth proportional to 6,996.25, 10,491.85 and 2,315.39 is: 3,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.25 : 10,491.85 = 2,315.39 : x
  2. Step 2: Convert to fraction form
    6,996.25/10,491.85 = 2,315.39/x
  3. Step 3: Cross multiply
    6,996.25x = 10,491.85 × 2,315.39
  4. Step 4: Simplify right side
    6,996.25x = 24,292,724.57
  5. Step 5: Solve for x
    x = 24,292,724.57/6,996.25
  6. Step 6: Final answer
    x = 3,472.25

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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.