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Finding the Fourth Proportional to 27,428.93, 41,144.99 and 7,709.02

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Solution

The fourth proportional to 27,428.93, 41,144.99 and 7,709.02 is: 11,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.93 : 41,144.99 = 7,709.02 : x
  2. Step 2: Convert to fraction form
    27,428.93/41,144.99 = 7,709.02/x
  3. Step 3: Cross multiply
    27,428.93x = 41,144.99 × 7,709.02
  4. Step 4: Simplify right side
    27,428.93x = 317,187,570.08
  5. Step 5: Solve for x
    x = 317,187,570.08/27,428.93
  6. Step 6: Final answer
    x = 11,563.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.