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Finding the Fourth Proportional to 6,751.84, 10,129.52 and 2,134.84

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Solution

The fourth proportional to 6,751.84, 10,129.52 and 2,134.84 is: 3,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.84 : 10,129.52 = 2,134.84 : x
  2. Step 2: Convert to fraction form
    6,751.84/10,129.52 = 2,134.84/x
  3. Step 3: Cross multiply
    6,751.84x = 10,129.52 × 2,134.84
  4. Step 4: Simplify right side
    6,751.84x = 21,624,904.48
  5. Step 5: Solve for x
    x = 21,624,904.48/6,751.84
  6. Step 6: Final answer
    x = 3,202.82

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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.