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Finding the Fourth Proportional to 11,348.30, 15,659.46 and 6,311.70

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Solution

The fourth proportional to 11,348.30, 15,659.46 and 6,311.70 is: 8,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.30 : 15,659.46 = 6,311.70 : x
  2. Step 2: Convert to fraction form
    11,348.30/15,659.46 = 6,311.70/x
  3. Step 3: Cross multiply
    11,348.30x = 15,659.46 × 6,311.70
  4. Step 4: Simplify right side
    11,348.30x = 98,837,813.68
  5. Step 5: Solve for x
    x = 98,837,813.68/11,348.30
  6. Step 6: Final answer
    x = 8,709.48

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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.