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Finding the Fourth Proportional to 11,382.13, 15,706.83 and 6,346.90

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Solution

The fourth proportional to 11,382.13, 15,706.83 and 6,346.90 is: 8,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.13 : 15,706.83 = 6,346.90 : x
  2. Step 2: Convert to fraction form
    11,382.13/15,706.83 = 6,346.90/x
  3. Step 3: Cross multiply
    11,382.13x = 15,706.83 × 6,346.90
  4. Step 4: Simplify right side
    11,382.13x = 99,689,679.33
  5. Step 5: Solve for x
    x = 99,689,679.33/11,382.13
  6. Step 6: Final answer
    x = 8,758.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.