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Finding the Fourth Proportional to 10,264.21, 14,163.72 and 6,014.71

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Solution

The fourth proportional to 10,264.21, 14,163.72 and 6,014.71 is: 8,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.21 : 14,163.72 = 6,014.71 : x
  2. Step 2: Convert to fraction form
    10,264.21/14,163.72 = 6,014.71/x
  3. Step 3: Cross multiply
    10,264.21x = 14,163.72 × 6,014.71
  4. Step 4: Simplify right side
    10,264.21x = 85,190,668.32
  5. Step 5: Solve for x
    x = 85,190,668.32/10,264.21
  6. Step 6: Final answer
    x = 8,299.78

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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.