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Finding the Fourth Proportional to 27,652.48, 41,478.56 and 7,931.12

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Solution

The fourth proportional to 27,652.48, 41,478.56 and 7,931.12 is: 11,896.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652.48 : 41,478.56 = 7,931.12 : x
  2. Step 2: Convert to fraction form
    27,652.48/41,478.56 = 7,931.12/x
  3. Step 3: Cross multiply
    27,652.48x = 41,478.56 × 7,931.12
  4. Step 4: Simplify right side
    27,652.48x = 328,971,436.79
  5. Step 5: Solve for x
    x = 328,971,436.79/27,652.48
  6. Step 6: Final answer
    x = 11,896.63

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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.