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Finding the Fourth Proportional to 27,533.40, 41,301.67 and 7,810.41

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Solution

The fourth proportional to 27,533.40, 41,301.67 and 7,810.41 is: 11,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,533.40 : 41,301.67 = 7,810.41 : x
  2. Step 2: Convert to fraction form
    27,533.40/41,301.67 = 7,810.41/x
  3. Step 3: Cross multiply
    27,533.40x = 41,301.67 × 7,810.41
  4. Step 4: Simplify right side
    27,533.40x = 322,582,976.38
  5. Step 5: Solve for x
    x = 322,582,976.38/27,533.40
  6. Step 6: Final answer
    x = 11,716.06

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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.