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Finding the Fourth Proportional to 6,763.50, 10,096.28 and 5,844.96

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Solution

The fourth proportional to 6,763.50, 10,096.28 and 5,844.96 is: 8,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.50 : 10,096.28 = 5,844.96 : x
  2. Step 2: Convert to fraction form
    6,763.50/10,096.28 = 5,844.96/x
  3. Step 3: Cross multiply
    6,763.50x = 10,096.28 × 5,844.96
  4. Step 4: Simplify right side
    6,763.50x = 59,012,352.75
  5. Step 5: Solve for x
    x = 59,012,352.75/6,763.50
  6. Step 6: Final answer
    x = 8,725.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.