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Finding the Fourth Proportional to 8,178.17, 11,284.52 and 7,763.04

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Solution

The fourth proportional to 8,178.17, 11,284.52 and 7,763.04 is: 10,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.17 : 11,284.52 = 7,763.04 : x
  2. Step 2: Convert to fraction form
    8,178.17/11,284.52 = 7,763.04/x
  3. Step 3: Cross multiply
    8,178.17x = 11,284.52 × 7,763.04
  4. Step 4: Simplify right side
    8,178.17x = 87,602,141.33
  5. Step 5: Solve for x
    x = 87,602,141.33/8,178.17
  6. Step 6: Final answer
    x = 10,711.71

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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.