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Finding the Fourth Proportional to 7,827.71, 11,713.61 and 6,799.82

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Solution

The fourth proportional to 7,827.71, 11,713.61 and 6,799.82 is: 10,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.71 : 11,713.61 = 6,799.82 : x
  2. Step 2: Convert to fraction form
    7,827.71/11,713.61 = 6,799.82/x
  3. Step 3: Cross multiply
    7,827.71x = 11,713.61 × 6,799.82
  4. Step 4: Simplify right side
    7,827.71x = 79,650,397.98
  5. Step 5: Solve for x
    x = 79,650,397.98/7,827.71
  6. Step 6: Final answer
    x = 10,175.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.