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Finding the Fourth Proportional to 27,085.14, 40,628.54 and 7,364.12

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Solution

The fourth proportional to 27,085.14, 40,628.54 and 7,364.12 is: 11,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,085.14 : 40,628.54 = 7,364.12 : x
  2. Step 2: Convert to fraction form
    27,085.14/40,628.54 = 7,364.12/x
  3. Step 3: Cross multiply
    27,085.14x = 40,628.54 × 7,364.12
  4. Step 4: Simplify right side
    27,085.14x = 299,193,443.98
  5. Step 5: Solve for x
    x = 299,193,443.98/27,085.14
  6. Step 6: Final answer
    x = 11,046.41

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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.