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Finding the Fourth Proportional to 6,852.63, 10,270.71 and 3,149.76

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Solution

The fourth proportional to 6,852.63, 10,270.71 and 3,149.76 is: 4,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.63 : 10,270.71 = 3,149.76 : x
  2. Step 2: Convert to fraction form
    6,852.63/10,270.71 = 3,149.76/x
  3. Step 3: Cross multiply
    6,852.63x = 10,270.71 × 3,149.76
  4. Step 4: Simplify right side
    6,852.63x = 32,350,271.53
  5. Step 5: Solve for x
    x = 32,350,271.53/6,852.63
  6. Step 6: Final answer
    x = 4,720.85

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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.