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Finding the Fourth Proportional to 6,776.19, 10,165.37 and 2,096.01

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Solution

The fourth proportional to 6,776.19, 10,165.37 and 2,096.01 is: 3,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.19 : 10,165.37 = 2,096.01 : x
  2. Step 2: Convert to fraction form
    6,776.19/10,165.37 = 2,096.01/x
  3. Step 3: Cross multiply
    6,776.19x = 10,165.37 × 2,096.01
  4. Step 4: Simplify right side
    6,776.19x = 21,306,706.69
  5. Step 5: Solve for x
    x = 21,306,706.69/6,776.19
  6. Step 6: Final answer
    x = 3,144.35

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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.