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Finding the Fourth Proportional to 10,674.33, 14,725.57 and 6,898.68

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Solution

The fourth proportional to 10,674.33, 14,725.57 and 6,898.68 is: 9,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.33 : 14,725.57 = 6,898.68 : x
  2. Step 2: Convert to fraction form
    10,674.33/14,725.57 = 6,898.68/x
  3. Step 3: Cross multiply
    10,674.33x = 14,725.57 × 6,898.68
  4. Step 4: Simplify right side
    10,674.33x = 101,586,995.25
  5. Step 5: Solve for x
    x = 101,586,995.25/10,674.33
  6. Step 6: Final answer
    x = 9,516.94

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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.