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Finding the Fourth Proportional to 27,508.95, 41,258.84 and 7,782.62

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Solution

The fourth proportional to 27,508.95, 41,258.84 and 7,782.62 is: 11,672.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,508.95 : 41,258.84 = 7,782.62 : x
  2. Step 2: Convert to fraction form
    27,508.95/41,258.84 = 7,782.62/x
  3. Step 3: Cross multiply
    27,508.95x = 41,258.84 × 7,782.62
  4. Step 4: Simplify right side
    27,508.95x = 321,101,628.15
  5. Step 5: Solve for x
    x = 321,101,628.15/27,508.95
  6. Step 6: Final answer
    x = 11,672.62

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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.