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Finding the Fourth Proportional to 7,119.96, 10,691.46 and 6,820.44

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Solution

The fourth proportional to 7,119.96, 10,691.46 and 6,820.44 is: 10,241.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.96 : 10,691.46 = 6,820.44 : x
  2. Step 2: Convert to fraction form
    7,119.96/10,691.46 = 6,820.44/x
  3. Step 3: Cross multiply
    7,119.96x = 10,691.46 × 6,820.44
  4. Step 4: Simplify right side
    7,119.96x = 72,920,461.44
  5. Step 5: Solve for x
    x = 72,920,461.44/7,119.96
  6. Step 6: Final answer
    x = 10,241.70

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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.