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Finding the Fourth Proportional to 10,689.30, 16,012.07 and 6,293.43

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Solution

The fourth proportional to 10,689.30, 16,012.07 and 6,293.43 is: 9,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.30 : 16,012.07 = 6,293.43 : x
  2. Step 2: Convert to fraction form
    10,689.30/16,012.07 = 6,293.43/x
  3. Step 3: Cross multiply
    10,689.30x = 16,012.07 × 6,293.43
  4. Step 4: Simplify right side
    10,689.30x = 100,770,810.23
  5. Step 5: Solve for x
    x = 100,770,810.23/10,689.30
  6. Step 6: Final answer
    x = 9,427.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.