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Finding the Fourth Proportional to 10,672.91, 14,725.65 and 6,896.22

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Solution

The fourth proportional to 10,672.91, 14,725.65 and 6,896.22 is: 9,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.91 : 14,725.65 = 6,896.22 : x
  2. Step 2: Convert to fraction form
    10,672.91/14,725.65 = 6,896.22/x
  3. Step 3: Cross multiply
    10,672.91x = 14,725.65 × 6,896.22
  4. Step 4: Simplify right side
    10,672.91x = 101,551,322.04
  5. Step 5: Solve for x
    x = 101,551,322.04/10,672.91
  6. Step 6: Final answer
    x = 9,514.87

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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.