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Finding the Fourth Proportional to 10,744.68, 16,126.25 and 6,069.29

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Solution

The fourth proportional to 10,744.68, 16,126.25 and 6,069.29 is: 9,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.68 : 16,126.25 = 6,069.29 : x
  2. Step 2: Convert to fraction form
    10,744.68/16,126.25 = 6,069.29/x
  3. Step 3: Cross multiply
    10,744.68x = 16,126.25 × 6,069.29
  4. Step 4: Simplify right side
    10,744.68x = 97,874,811.02
  5. Step 5: Solve for x
    x = 97,874,811.02/10,744.68
  6. Step 6: Final answer
    x = 9,109.14

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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.