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Finding the Fourth Proportional to 7,650.96, 11,475.14 and 2,103

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Solution

The fourth proportional to 7,650.96, 11,475.14 and 2,103 is: 3,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650.96 : 11,475.14 = 2,103 : x
  2. Step 2: Convert to fraction form
    7,650.96/11,475.14 = 2,103/x
  3. Step 3: Cross multiply
    7,650.96x = 11,475.14 × 2,103
  4. Step 4: Simplify right side
    7,650.96x = 24,132,208.91
  5. Step 5: Solve for x
    x = 24,132,208.91/7,650.96
  6. Step 6: Final answer
    x = 3,154.14

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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.