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Finding the Fourth Proportional to 10,523.46, 15,759.45 and 6,814.56

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Solution

The fourth proportional to 10,523.46, 15,759.45 and 6,814.56 is: 10,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.46 : 15,759.45 = 6,814.56 : x
  2. Step 2: Convert to fraction form
    10,523.46/15,759.45 = 6,814.56/x
  3. Step 3: Cross multiply
    10,523.46x = 15,759.45 × 6,814.56
  4. Step 4: Simplify right side
    10,523.46x = 107,393,717.59
  5. Step 5: Solve for x
    x = 107,393,717.59/10,523.46
  6. Step 6: Final answer
    x = 10,205.17

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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.