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Finding the Fourth Proportional to 10,166.75, 14,038.87 and 6,396.20

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Solution

The fourth proportional to 10,166.75, 14,038.87 and 6,396.20 is: 8,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166.75 : 14,038.87 = 6,396.20 : x
  2. Step 2: Convert to fraction form
    10,166.75/14,038.87 = 6,396.20/x
  3. Step 3: Cross multiply
    10,166.75x = 14,038.87 × 6,396.20
  4. Step 4: Simplify right side
    10,166.75x = 89,795,398.75
  5. Step 5: Solve for x
    x = 89,795,398.75/10,166.75
  6. Step 6: Final answer
    x = 8,832.26

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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.