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Finding the Fourth Proportional to 10,810.42, 14,912.25 and 6,824.61

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Solution

The fourth proportional to 10,810.42, 14,912.25 and 6,824.61 is: 9,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,810.42 : 14,912.25 = 6,824.61 : x
  2. Step 2: Convert to fraction form
    10,810.42/14,912.25 = 6,824.61/x
  3. Step 3: Cross multiply
    10,810.42x = 14,912.25 × 6,824.61
  4. Step 4: Simplify right side
    10,810.42x = 101,770,345.21
  5. Step 5: Solve for x
    x = 101,770,345.21/10,810.42
  6. Step 6: Final answer
    x = 9,414.10

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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.