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Finding the Fourth Proportional to 27,637.75, 41,456.44 and 7,916.38

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Solution

The fourth proportional to 27,637.75, 41,456.44 and 7,916.38 is: 11,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,637.75 : 41,456.44 = 7,916.38 : x
  2. Step 2: Convert to fraction form
    27,637.75/41,456.44 = 7,916.38/x
  3. Step 3: Cross multiply
    27,637.75x = 41,456.44 × 7,916.38
  4. Step 4: Simplify right side
    27,637.75x = 328,184,838.74
  5. Step 5: Solve for x
    x = 328,184,838.74/27,637.75
  6. Step 6: Final answer
    x = 11,874.51

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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.