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Finding the Fourth Proportional to 10,493.88, 14,477.21 and 6,244.09

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Solution

The fourth proportional to 10,493.88, 14,477.21 and 6,244.09 is: 8,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.88 : 14,477.21 = 6,244.09 : x
  2. Step 2: Convert to fraction form
    10,493.88/14,477.21 = 6,244.09/x
  3. Step 3: Cross multiply
    10,493.88x = 14,477.21 × 6,244.09
  4. Step 4: Simplify right side
    10,493.88x = 90,397,002.19
  5. Step 5: Solve for x
    x = 90,397,002.19/10,493.88
  6. Step 6: Final answer
    x = 8,614.26

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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.