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Finding the Fourth Proportional to 6,710.72, 10,062.84 and 2,814.08

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Solution

The fourth proportional to 6,710.72, 10,062.84 and 2,814.08 is: 4,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.72 : 10,062.84 = 2,814.08 : x
  2. Step 2: Convert to fraction form
    6,710.72/10,062.84 = 2,814.08/x
  3. Step 3: Cross multiply
    6,710.72x = 10,062.84 × 2,814.08
  4. Step 4: Simplify right side
    6,710.72x = 28,317,636.79
  5. Step 5: Solve for x
    x = 28,317,636.79/6,710.72
  6. Step 6: Final answer
    x = 4,219.76

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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.