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Finding the Fourth Proportional to 10,880.64, 15,014.43 and 6,163.74

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Solution

The fourth proportional to 10,880.64, 15,014.43 and 6,163.74 is: 8,505.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,880.64 : 15,014.43 = 6,163.74 : x
  2. Step 2: Convert to fraction form
    10,880.64/15,014.43 = 6,163.74/x
  3. Step 3: Cross multiply
    10,880.64x = 15,014.43 × 6,163.74
  4. Step 4: Simplify right side
    10,880.64x = 92,545,042.77
  5. Step 5: Solve for x
    x = 92,545,042.77/10,880.64
  6. Step 6: Final answer
    x = 8,505.48

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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.