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Finding the Fourth Proportional to 10,249.77, 15,378.53 and 4,014.24

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Solution

The fourth proportional to 10,249.77, 15,378.53 and 4,014.24 is: 6,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.77 : 15,378.53 = 4,014.24 : x
  2. Step 2: Convert to fraction form
    10,249.77/15,378.53 = 4,014.24/x
  3. Step 3: Cross multiply
    10,249.77x = 15,378.53 × 4,014.24
  4. Step 4: Simplify right side
    10,249.77x = 61,733,032.53
  5. Step 5: Solve for x
    x = 61,733,032.53/10,249.77
  6. Step 6: Final answer
    x = 6,022.87

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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.