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Finding the Fourth Proportional to 27,537.94, 41,300.88 and 7,816.06

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Solution

The fourth proportional to 27,537.94, 41,300.88 and 7,816.06 is: 11,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.94 : 41,300.88 = 7,816.06 : x
  2. Step 2: Convert to fraction form
    27,537.94/41,300.88 = 7,816.06/x
  3. Step 3: Cross multiply
    27,537.94x = 41,300.88 × 7,816.06
  4. Step 4: Simplify right side
    27,537.94x = 322,810,156.13
  5. Step 5: Solve for x
    x = 322,810,156.13/27,537.94
  6. Step 6: Final answer
    x = 11,722.38

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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.