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Finding the Fourth Proportional to 7,267.10, 10,905.15 and 2,884.10

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Solution

The fourth proportional to 7,267.10, 10,905.15 and 2,884.10 is: 4,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.10 : 10,905.15 = 2,884.10 : x
  2. Step 2: Convert to fraction form
    7,267.10/10,905.15 = 2,884.10/x
  3. Step 3: Cross multiply
    7,267.10x = 10,905.15 × 2,884.10
  4. Step 4: Simplify right side
    7,267.10x = 31,451,543.12
  5. Step 5: Solve for x
    x = 31,451,543.12/7,267.10
  6. Step 6: Final answer
    x = 4,327.94

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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.