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Finding the Fourth Proportional to 10,419.68, 15,624.79 and 4,493.77

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Solution

The fourth proportional to 10,419.68, 15,624.79 and 4,493.77 is: 6,738.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.68 : 15,624.79 = 4,493.77 : x
  2. Step 2: Convert to fraction form
    10,419.68/15,624.79 = 4,493.77/x
  3. Step 3: Cross multiply
    10,419.68x = 15,624.79 × 4,493.77
  4. Step 4: Simplify right side
    10,419.68x = 70,214,187.54
  5. Step 5: Solve for x
    x = 70,214,187.54/10,419.68
  6. Step 6: Final answer
    x = 6,738.61

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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.