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Finding the Fourth Proportional to 27,874.12, 41,807.58 and 7,096.36

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Solution

The fourth proportional to 27,874.12, 41,807.58 and 7,096.36 is: 10,643.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.12 : 41,807.58 = 7,096.36 : x
  2. Step 2: Convert to fraction form
    27,874.12/41,807.58 = 7,096.36/x
  3. Step 3: Cross multiply
    27,874.12x = 41,807.58 × 7,096.36
  4. Step 4: Simplify right side
    27,874.12x = 296,681,638.41
  5. Step 5: Solve for x
    x = 296,681,638.41/27,874.12
  6. Step 6: Final answer
    x = 10,643.62

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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.