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Finding the Fourth Proportional to 10,647.87, 14,693.25 and 6,172.23

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Solution

The fourth proportional to 10,647.87, 14,693.25 and 6,172.23 is: 8,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.87 : 14,693.25 = 6,172.23 : x
  2. Step 2: Convert to fraction form
    10,647.87/14,693.25 = 6,172.23/x
  3. Step 3: Cross multiply
    10,647.87x = 14,693.25 × 6,172.23
  4. Step 4: Simplify right side
    10,647.87x = 90,690,118.45
  5. Step 5: Solve for x
    x = 90,690,118.45/10,647.87
  6. Step 6: Final answer
    x = 8,517.21

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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.