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Finding the Fourth Proportional to 10,689.24, 14,751.90 and 6,963.24

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Solution

The fourth proportional to 10,689.24, 14,751.90 and 6,963.24 is: 9,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.24 : 14,751.90 = 6,963.24 : x
  2. Step 2: Convert to fraction form
    10,689.24/14,751.90 = 6,963.24/x
  3. Step 3: Cross multiply
    10,689.24x = 14,751.90 × 6,963.24
  4. Step 4: Simplify right side
    10,689.24x = 102,721,020.16
  5. Step 5: Solve for x
    x = 102,721,020.16/10,689.24
  6. Step 6: Final answer
    x = 9,609.76

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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.