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Finding the Fourth Proportional to 10,232.54, 14,120.39 and 6,039.98

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Solution

The fourth proportional to 10,232.54, 14,120.39 and 6,039.98 is: 8,334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.54 : 14,120.39 = 6,039.98 : x
  2. Step 2: Convert to fraction form
    10,232.54/14,120.39 = 6,039.98/x
  3. Step 3: Cross multiply
    10,232.54x = 14,120.39 × 6,039.98
  4. Step 4: Simplify right side
    10,232.54x = 85,286,873.19
  5. Step 5: Solve for x
    x = 85,286,873.19/10,232.54
  6. Step 6: Final answer
    x = 8,334.87

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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.