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Finding the Fourth Proportional to 6,783.51, 10,166.76 and 3,863.46

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Solution

The fourth proportional to 6,783.51, 10,166.76 and 3,863.46 is: 5,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.51 : 10,166.76 = 3,863.46 : x
  2. Step 2: Convert to fraction form
    6,783.51/10,166.76 = 3,863.46/x
  3. Step 3: Cross multiply
    6,783.51x = 10,166.76 × 3,863.46
  4. Step 4: Simplify right side
    6,783.51x = 39,278,870.59
  5. Step 5: Solve for x
    x = 39,278,870.59/6,783.51
  6. Step 6: Final answer
    x = 5,790.35

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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.