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Finding the Fourth Proportional to 10,892.26, 15,029.31 and 6,175.63

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Solution

The fourth proportional to 10,892.26, 15,029.31 and 6,175.63 is: 8,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892.26 : 15,029.31 = 6,175.63 : x
  2. Step 2: Convert to fraction form
    10,892.26/15,029.31 = 6,175.63/x
  3. Step 3: Cross multiply
    10,892.26x = 15,029.31 × 6,175.63
  4. Step 4: Simplify right side
    10,892.26x = 92,815,457.72
  5. Step 5: Solve for x
    x = 92,815,457.72/10,892.26
  6. Step 6: Final answer
    x = 8,521.23

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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.