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Finding the Fourth Proportional to 27,475.47, 41,214.65 and 7,755.57

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Solution

The fourth proportional to 27,475.47, 41,214.65 and 7,755.57 is: 11,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,475.47 : 41,214.65 = 7,755.57 : x
  2. Step 2: Convert to fraction form
    27,475.47/41,214.65 = 7,755.57/x
  3. Step 3: Cross multiply
    27,475.47x = 41,214.65 × 7,755.57
  4. Step 4: Simplify right side
    27,475.47x = 319,643,064.32
  5. Step 5: Solve for x
    x = 319,643,064.32/27,475.47
  6. Step 6: Final answer
    x = 11,633.76

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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.