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Finding the Fourth Proportional to 27,537.10, 41,305.65 and 7,816.30

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Solution

The fourth proportional to 27,537.10, 41,305.65 and 7,816.30 is: 11,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.10 : 41,305.65 = 7,816.30 : x
  2. Step 2: Convert to fraction form
    27,537.10/41,305.65 = 7,816.30/x
  3. Step 3: Cross multiply
    27,537.10x = 41,305.65 × 7,816.30
  4. Step 4: Simplify right side
    27,537.10x = 322,857,352.10
  5. Step 5: Solve for x
    x = 322,857,352.10/27,537.10
  6. Step 6: Final answer
    x = 11,724.45

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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.