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Finding the Fourth Proportional to 7,841.71, 11,818.93 and 6,759.14

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Solution

The fourth proportional to 7,841.71, 11,818.93 and 6,759.14 is: 10,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.71 : 11,818.93 = 6,759.14 : x
  2. Step 2: Convert to fraction form
    7,841.71/11,818.93 = 6,759.14/x
  3. Step 3: Cross multiply
    7,841.71x = 11,818.93 × 6,759.14
  4. Step 4: Simplify right side
    7,841.71x = 79,885,768.72
  5. Step 5: Solve for x
    x = 79,885,768.72/7,841.71
  6. Step 6: Final answer
    x = 10,187.30

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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.