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Finding the Fourth Proportional to 6,847.69, 10,264.56 and 3,152.68

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Solution

The fourth proportional to 6,847.69, 10,264.56 and 3,152.68 is: 4,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.69 : 10,264.56 = 3,152.68 : x
  2. Step 2: Convert to fraction form
    6,847.69/10,264.56 = 3,152.68/x
  3. Step 3: Cross multiply
    6,847.69x = 10,264.56 × 3,152.68
  4. Step 4: Simplify right side
    6,847.69x = 32,360,873.02
  5. Step 5: Solve for x
    x = 32,360,873.02/6,847.69
  6. Step 6: Final answer
    x = 4,725.81

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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.