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Finding the Fourth Proportional to 10,446.15, 15,674.01 and 4,524.85

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Solution

The fourth proportional to 10,446.15, 15,674.01 and 4,524.85 is: 6,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.15 : 15,674.01 = 4,524.85 : x
  2. Step 2: Convert to fraction form
    10,446.15/15,674.01 = 4,524.85/x
  3. Step 3: Cross multiply
    10,446.15x = 15,674.01 × 4,524.85
  4. Step 4: Simplify right side
    10,446.15x = 70,922,458.61
  5. Step 5: Solve for x
    x = 70,922,458.61/10,446.15
  6. Step 6: Final answer
    x = 6,789.34

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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.