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Finding the Fourth Proportional to 6,508.96, 9,756.24 and 2,810.56

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Solution

The fourth proportional to 6,508.96, 9,756.24 and 2,810.56 is: 4,212.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.96 : 9,756.24 = 2,810.56 : x
  2. Step 2: Convert to fraction form
    6,508.96/9,756.24 = 2,810.56/x
  3. Step 3: Cross multiply
    6,508.96x = 9,756.24 × 2,810.56
  4. Step 4: Simplify right side
    6,508.96x = 27,420,497.89
  5. Step 5: Solve for x
    x = 27,420,497.89/6,508.96
  6. Step 6: Final answer
    x = 4,212.73

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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.