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Finding the Fourth Proportional to 27,875.97, 41,813.76 and 6,816.12

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Solution

The fourth proportional to 27,875.97, 41,813.76 and 6,816.12 is: 10,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.97 : 41,813.76 = 6,816.12 : x
  2. Step 2: Convert to fraction form
    27,875.97/41,813.76 = 6,816.12/x
  3. Step 3: Cross multiply
    27,875.97x = 41,813.76 × 6,816.12
  4. Step 4: Simplify right side
    27,875.97x = 285,007,605.81
  5. Step 5: Solve for x
    x = 285,007,605.81/27,875.97
  6. Step 6: Final answer
    x = 10,224.13

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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.