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Finding the Fourth Proportional to 7,446.68, 10,275.65 and 4,462.44

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Solution

The fourth proportional to 7,446.68, 10,275.65 and 4,462.44 is: 6,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.68 : 10,275.65 = 4,462.44 : x
  2. Step 2: Convert to fraction form
    7,446.68/10,275.65 = 4,462.44/x
  3. Step 3: Cross multiply
    7,446.68x = 10,275.65 × 4,462.44
  4. Step 4: Simplify right side
    7,446.68x = 45,854,471.59
  5. Step 5: Solve for x
    x = 45,854,471.59/7,446.68
  6. Step 6: Final answer
    x = 6,157.71

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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.