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Finding the Fourth Proportional to 6,960.96, 10,434.13 and 3,260.17

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Solution

The fourth proportional to 6,960.96, 10,434.13 and 3,260.17 is: 4,886.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.96 : 10,434.13 = 3,260.17 : x
  2. Step 2: Convert to fraction form
    6,960.96/10,434.13 = 3,260.17/x
  3. Step 3: Cross multiply
    6,960.96x = 10,434.13 × 3,260.17
  4. Step 4: Simplify right side
    6,960.96x = 34,017,037.60
  5. Step 5: Solve for x
    x = 34,017,037.60/6,960.96
  6. Step 6: Final answer
    x = 4,886.83

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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.