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Finding the Fourth Proportional to 6,914.84, 10,362.54 and 3,011.05

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Solution

The fourth proportional to 6,914.84, 10,362.54 and 3,011.05 is: 4,512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.84 : 10,362.54 = 3,011.05 : x
  2. Step 2: Convert to fraction form
    6,914.84/10,362.54 = 3,011.05/x
  3. Step 3: Cross multiply
    6,914.84x = 10,362.54 × 3,011.05
  4. Step 4: Simplify right side
    6,914.84x = 31,202,074.25
  5. Step 5: Solve for x
    x = 31,202,074.25/6,914.84
  6. Step 6: Final answer
    x = 4,512.33

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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.