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Finding the Fourth Proportional to 10,324.69, 14,250.71 and 6,294.24

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Solution

The fourth proportional to 10,324.69, 14,250.71 and 6,294.24 is: 8,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,324.69 : 14,250.71 = 6,294.24 : x
  2. Step 2: Convert to fraction form
    10,324.69/14,250.71 = 6,294.24/x
  3. Step 3: Cross multiply
    10,324.69x = 14,250.71 × 6,294.24
  4. Step 4: Simplify right side
    10,324.69x = 89,697,404.65
  5. Step 5: Solve for x
    x = 89,697,404.65/10,324.69
  6. Step 6: Final answer
    x = 8,687.66

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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.