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Finding the Fourth Proportional to 8,194.02, 11,306.16 and 5,672.04

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Solution

The fourth proportional to 8,194.02, 11,306.16 and 5,672.04 is: 7,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.02 : 11,306.16 = 5,672.04 : x
  2. Step 2: Convert to fraction form
    8,194.02/11,306.16 = 5,672.04/x
  3. Step 3: Cross multiply
    8,194.02x = 11,306.16 × 5,672.04
  4. Step 4: Simplify right side
    8,194.02x = 64,128,991.77
  5. Step 5: Solve for x
    x = 64,128,991.77/8,194.02
  6. Step 6: Final answer
    x = 7,826.32

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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.