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Finding the Fourth Proportional to 11,311.70, 15,610.12 and 6,276.68

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Solution

The fourth proportional to 11,311.70, 15,610.12 and 6,276.68 is: 8,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311.70 : 15,610.12 = 6,276.68 : x
  2. Step 2: Convert to fraction form
    11,311.70/15,610.12 = 6,276.68/x
  3. Step 3: Cross multiply
    11,311.70x = 15,610.12 × 6,276.68
  4. Step 4: Simplify right side
    11,311.70x = 97,979,696.62
  5. Step 5: Solve for x
    x = 97,979,696.62/11,311.70
  6. Step 6: Final answer
    x = 8,661.81

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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.