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Finding the Fourth Proportional to 11,818.62, 16,310.16 and 6,782.76

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Solution

The fourth proportional to 11,818.62, 16,310.16 and 6,782.76 is: 9,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818.62 : 16,310.16 = 6,782.76 : x
  2. Step 2: Convert to fraction form
    11,818.62/16,310.16 = 6,782.76/x
  3. Step 3: Cross multiply
    11,818.62x = 16,310.16 × 6,782.76
  4. Step 4: Simplify right side
    11,818.62x = 110,627,900.84
  5. Step 5: Solve for x
    x = 110,627,900.84/11,818.62
  6. Step 6: Final answer
    x = 9,360.48

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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.