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Finding the Fourth Proportional to 7,841.21, 11,818.17 and 6,758.64

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Solution

The fourth proportional to 7,841.21, 11,818.17 and 6,758.64 is: 10,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.21 : 11,818.17 = 6,758.64 : x
  2. Step 2: Convert to fraction form
    7,841.21/11,818.17 = 6,758.64/x
  3. Step 3: Cross multiply
    7,841.21x = 11,818.17 × 6,758.64
  4. Step 4: Simplify right side
    7,841.21x = 79,874,756.49
  5. Step 5: Solve for x
    x = 79,874,756.49/7,841.21
  6. Step 6: Final answer
    x = 10,186.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.