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Finding the Fourth Proportional to 27,428.33, 41,142.65 and 7,707.06

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Solution

The fourth proportional to 27,428.33, 41,142.65 and 7,707.06 is: 11,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.33 : 41,142.65 = 7,707.06 : x
  2. Step 2: Convert to fraction form
    27,428.33/41,142.65 = 7,707.06/x
  3. Step 3: Cross multiply
    27,428.33x = 41,142.65 × 7,707.06
  4. Step 4: Simplify right side
    27,428.33x = 317,088,833.57
  5. Step 5: Solve for x
    x = 317,088,833.57/27,428.33
  6. Step 6: Final answer
    x = 11,560.63

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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.