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Finding the Fourth Proportional to 11,348.80, 15,660 and 6,311.68

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Solution

The fourth proportional to 11,348.80, 15,660 and 6,311.68 is: 8,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,348.80 : 15,660 = 6,311.68 : x
  2. Step 2: Convert to fraction form
    11,348.80/15,660 = 6,311.68/x
  3. Step 3: Cross multiply
    11,348.80x = 15,660 × 6,311.68
  4. Step 4: Simplify right side
    11,348.80x = 98,840,908.80
  5. Step 5: Solve for x
    x = 98,840,908.80/11,348.80
  6. Step 6: Final answer
    x = 8,709.37

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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.