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Finding the Fourth Proportional to 6,997.80, 10,496.88 and 2,317.80

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Solution

The fourth proportional to 6,997.80, 10,496.88 and 2,317.80 is: 3,476.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.80 : 10,496.88 = 2,317.80 : x
  2. Step 2: Convert to fraction form
    6,997.80/10,496.88 = 2,317.80/x
  3. Step 3: Cross multiply
    6,997.80x = 10,496.88 × 2,317.80
  4. Step 4: Simplify right side
    6,997.80x = 24,329,668.46
  5. Step 5: Solve for x
    x = 24,329,668.46/6,997.80
  6. Step 6: Final answer
    x = 3,476.76

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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.