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Finding the Fourth Proportional to 10,264.26, 14,161.08 and 6,486.22

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Solution

The fourth proportional to 10,264.26, 14,161.08 and 6,486.22 is: 8,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.26 : 14,161.08 = 6,486.22 : x
  2. Step 2: Convert to fraction form
    10,264.26/14,161.08 = 6,486.22/x
  3. Step 3: Cross multiply
    10,264.26x = 14,161.08 × 6,486.22
  4. Step 4: Simplify right side
    10,264.26x = 91,851,880.32
  5. Step 5: Solve for x
    x = 91,851,880.32/10,264.26
  6. Step 6: Final answer
    x = 8,948.71

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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.