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Finding the Fourth Proportional to 7,115.10, 10,672.62 and 1,920.96

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Solution

The fourth proportional to 7,115.10, 10,672.62 and 1,920.96 is: 2,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.10 : 10,672.62 = 1,920.96 : x
  2. Step 2: Convert to fraction form
    7,115.10/10,672.62 = 1,920.96/x
  3. Step 3: Cross multiply
    7,115.10x = 10,672.62 × 1,920.96
  4. Step 4: Simplify right side
    7,115.10x = 20,501,676.12
  5. Step 5: Solve for x
    x = 20,501,676.12/7,115.10
  6. Step 6: Final answer
    x = 2,881.43

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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.