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Finding the Fourth Proportional to 6,856.32, 10,282.94 and 3,155.00

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Solution

The fourth proportional to 6,856.32, 10,282.94 and 3,155.00 is: 4,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.32 : 10,282.94 = 3,155.00 : x
  2. Step 2: Convert to fraction form
    6,856.32/10,282.94 = 3,155.00/x
  3. Step 3: Cross multiply
    6,856.32x = 10,282.94 × 3,155.00
  4. Step 4: Simplify right side
    6,856.32x = 32,442,608.51
  5. Step 5: Solve for x
    x = 32,442,608.51/6,856.32
  6. Step 6: Final answer
    x = 4,731.78

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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.