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Finding the Fourth Proportional to 7,600.10, 10,486.55 and 4,614.30

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Solution

The fourth proportional to 7,600.10, 10,486.55 and 4,614.30 is: 6,366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600.10 : 10,486.55 = 4,614.30 : x
  2. Step 2: Convert to fraction form
    7,600.10/10,486.55 = 4,614.30/x
  3. Step 3: Cross multiply
    7,600.10x = 10,486.55 × 4,614.30
  4. Step 4: Simplify right side
    7,600.10x = 48,388,099.20
  5. Step 5: Solve for x
    x = 48,388,099.20/7,600.10
  6. Step 6: Final answer
    x = 6,366.78

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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.