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Finding the Fourth Proportional to 10,738.40, 16,107.60 and 9,010.40

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Solution

The fourth proportional to 10,738.40, 16,107.60 and 9,010.40 is: 13,515.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.40 : 16,107.60 = 9,010.40 : x
  2. Step 2: Convert to fraction form
    10,738.40/16,107.60 = 9,010.40/x
  3. Step 3: Cross multiply
    10,738.40x = 16,107.60 × 9,010.40
  4. Step 4: Simplify right side
    10,738.40x = 145,135,919.04
  5. Step 5: Solve for x
    x = 145,135,919.04/10,738.40
  6. Step 6: Final answer
    x = 13,515.60

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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.