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Finding the Fourth Proportional to 27,384.48, 41,072.00 and 7,658.42

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Solution

The fourth proportional to 27,384.48, 41,072.00 and 7,658.42 is: 11,486.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384.48 : 41,072.00 = 7,658.42 : x
  2. Step 2: Convert to fraction form
    27,384.48/41,072.00 = 7,658.42/x
  3. Step 3: Cross multiply
    27,384.48x = 41,072.00 × 7,658.42
  4. Step 4: Simplify right side
    27,384.48x = 314,546,382.59
  5. Step 5: Solve for x
    x = 314,546,382.59/27,384.48
  6. Step 6: Final answer
    x = 11,486.30

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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.