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Finding the Fourth Proportional to 6,833.87, 10,242.50 and 3,706.46

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Solution

The fourth proportional to 6,833.87, 10,242.50 and 3,706.46 is: 5,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.87 : 10,242.50 = 3,706.46 : x
  2. Step 2: Convert to fraction form
    6,833.87/10,242.50 = 3,706.46/x
  3. Step 3: Cross multiply
    6,833.87x = 10,242.50 × 3,706.46
  4. Step 4: Simplify right side
    6,833.87x = 37,963,346.81
  5. Step 5: Solve for x
    x = 37,963,346.81/6,833.87
  6. Step 6: Final answer
    x = 5,555.18

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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.