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Finding the Fourth Proportional to 6,710.42, 10,064.82 and 2,812.70

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Solution

The fourth proportional to 6,710.42, 10,064.82 and 2,812.70 is: 4,218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.42 : 10,064.82 = 2,812.70 : x
  2. Step 2: Convert to fraction form
    6,710.42/10,064.82 = 2,812.70/x
  3. Step 3: Cross multiply
    6,710.42x = 10,064.82 × 2,812.70
  4. Step 4: Simplify right side
    6,710.42x = 28,309,319.21
  5. Step 5: Solve for x
    x = 28,309,319.21/6,710.42
  6. Step 6: Final answer
    x = 4,218.71

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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.