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Finding the Fourth Proportional to 10,085.75, 15,096.28 and 5,394.03

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Solution

The fourth proportional to 10,085.75, 15,096.28 and 5,394.03 is: 8,073.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.75 : 15,096.28 = 5,394.03 : x
  2. Step 2: Convert to fraction form
    10,085.75/15,096.28 = 5,394.03/x
  3. Step 3: Cross multiply
    10,085.75x = 15,096.28 × 5,394.03
  4. Step 4: Simplify right side
    10,085.75x = 81,429,754.85
  5. Step 5: Solve for x
    x = 81,429,754.85/10,085.75
  6. Step 6: Final answer
    x = 8,073.74

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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.