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Finding the Fourth Proportional to 11,793.71, 16,282.04 and 7,820.20

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Solution

The fourth proportional to 11,793.71, 16,282.04 and 7,820.20 is: 10,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.71 : 16,282.04 = 7,820.20 : x
  2. Step 2: Convert to fraction form
    11,793.71/16,282.04 = 7,820.20/x
  3. Step 3: Cross multiply
    11,793.71x = 16,282.04 × 7,820.20
  4. Step 4: Simplify right side
    11,793.71x = 127,328,688.70
  5. Step 5: Solve for x
    x = 127,328,688.70/11,793.71
  6. Step 6: Final answer
    x = 10,796.32

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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.