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Finding the Fourth Proportional to 11,709.16, 17,563.20 and 8,428.12

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Solution

The fourth proportional to 11,709.16, 17,563.20 and 8,428.12 is: 12,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.16 : 17,563.20 = 8,428.12 : x
  2. Step 2: Convert to fraction form
    11,709.16/17,563.20 = 8,428.12/x
  3. Step 3: Cross multiply
    11,709.16x = 17,563.20 × 8,428.12
  4. Step 4: Simplify right side
    11,709.16x = 148,024,757.18
  5. Step 5: Solve for x
    x = 148,024,757.18/11,709.16
  6. Step 6: Final answer
    x = 12,641.79

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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.