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Finding the Fourth Proportional to 27,637.10, 41,462.02 and 7,915.82

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Solution

The fourth proportional to 27,637.10, 41,462.02 and 7,915.82 is: 11,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,637.10 : 41,462.02 = 7,915.82 : x
  2. Step 2: Convert to fraction form
    27,637.10/41,462.02 = 7,915.82/x
  3. Step 3: Cross multiply
    27,637.10x = 41,462.02 × 7,915.82
  4. Step 4: Simplify right side
    27,637.10x = 328,205,887.16
  5. Step 5: Solve for x
    x = 328,205,887.16/27,637.10
  6. Step 6: Final answer
    x = 11,875.55

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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.