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Finding the Fourth Proportional to 10,480.48, 15,706.83 and 7,694.13

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Solution

The fourth proportional to 10,480.48, 15,706.83 and 7,694.13 is: 11,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.48 : 15,706.83 = 7,694.13 : x
  2. Step 2: Convert to fraction form
    10,480.48/15,706.83 = 7,694.13/x
  3. Step 3: Cross multiply
    10,480.48x = 15,706.83 × 7,694.13
  4. Step 4: Simplify right side
    10,480.48x = 120,850,313.37
  5. Step 5: Solve for x
    x = 120,850,313.37/10,480.48
  6. Step 6: Final answer
    x = 11,530.99

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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.