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Finding the Fourth Proportional to 6,863.51, 10,296.72 and 2,182.95

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Solution

The fourth proportional to 6,863.51, 10,296.72 and 2,182.95 is: 3,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.51 : 10,296.72 = 2,182.95 : x
  2. Step 2: Convert to fraction form
    6,863.51/10,296.72 = 2,182.95/x
  3. Step 3: Cross multiply
    6,863.51x = 10,296.72 × 2,182.95
  4. Step 4: Simplify right side
    6,863.51x = 22,477,224.92
  5. Step 5: Solve for x
    x = 22,477,224.92/6,863.51
  6. Step 6: Final answer
    x = 3,274.89

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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.