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Finding the Fourth Proportional to 27,703.72, 41,549.50 and 7,978

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Solution

The fourth proportional to 27,703.72, 41,549.50 and 7,978 is: 11,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,703.72 : 41,549.50 = 7,978 : x
  2. Step 2: Convert to fraction form
    27,703.72/41,549.50 = 7,978/x
  3. Step 3: Cross multiply
    27,703.72x = 41,549.50 × 7,978
  4. Step 4: Simplify right side
    27,703.72x = 331,481,911
  5. Step 5: Solve for x
    x = 331,481,911/27,703.72
  6. Step 6: Final answer
    x = 11,965.25

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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.