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Finding the Fourth Proportional to 27,083.82, 40,625.67 and 7,365.24

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Solution

The fourth proportional to 27,083.82, 40,625.67 and 7,365.24 is: 11,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,083.82 : 40,625.67 = 7,365.24 : x
  2. Step 2: Convert to fraction form
    27,083.82/40,625.67 = 7,365.24/x
  3. Step 3: Cross multiply
    27,083.82x = 40,625.67 × 7,365.24
  4. Step 4: Simplify right side
    27,083.82x = 299,217,809.71
  5. Step 5: Solve for x
    x = 299,217,809.71/27,083.82
  6. Step 6: Final answer
    x = 11,047.84

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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.