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Finding the Fourth Proportional to 10,325.69, 14,252.09 and 6,295.24

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Solution

The fourth proportional to 10,325.69, 14,252.09 and 6,295.24 is: 8,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,325.69 : 14,252.09 = 6,295.24 : x
  2. Step 2: Convert to fraction form
    10,325.69/14,252.09 = 6,295.24/x
  3. Step 3: Cross multiply
    10,325.69x = 14,252.09 × 6,295.24
  4. Step 4: Simplify right side
    10,325.69x = 89,720,327.05
  5. Step 5: Solve for x
    x = 89,720,327.05/10,325.69
  6. Step 6: Final answer
    x = 8,689.04

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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.