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Finding the Fourth Proportional to 27,534.39, 41,301.57 and 7,813.11

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Solution

The fourth proportional to 27,534.39, 41,301.57 and 7,813.11 is: 11,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.39 : 41,301.57 = 7,813.11 : x
  2. Step 2: Convert to fraction form
    27,534.39/41,301.57 = 7,813.11/x
  3. Step 3: Cross multiply
    27,534.39x = 41,301.57 × 7,813.11
  4. Step 4: Simplify right side
    27,534.39x = 322,693,709.58
  5. Step 5: Solve for x
    x = 322,693,709.58/27,534.39
  6. Step 6: Final answer
    x = 11,719.66

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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.