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Finding the Fourth Proportional to 27,460.23, 41,198.08 and 7,738.95

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Solution

The fourth proportional to 27,460.23, 41,198.08 and 7,738.95 is: 11,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,460.23 : 41,198.08 = 7,738.95 : x
  2. Step 2: Convert to fraction form
    27,460.23/41,198.08 = 7,738.95/x
  3. Step 3: Cross multiply
    27,460.23x = 41,198.08 × 7,738.95
  4. Step 4: Simplify right side
    27,460.23x = 318,829,881.22
  5. Step 5: Solve for x
    x = 318,829,881.22/27,460.23
  6. Step 6: Final answer
    x = 11,610.60

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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.