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Finding the Fourth Proportional to 6,701.76, 10,056.24 and 2,806.08

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Solution

The fourth proportional to 6,701.76, 10,056.24 and 2,806.08 is: 4,210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.76 : 10,056.24 = 2,806.08 : x
  2. Step 2: Convert to fraction form
    6,701.76/10,056.24 = 2,806.08/x
  3. Step 3: Cross multiply
    6,701.76x = 10,056.24 × 2,806.08
  4. Step 4: Simplify right side
    6,701.76x = 28,218,613.94
  5. Step 5: Solve for x
    x = 28,218,613.94/6,701.76
  6. Step 6: Final answer
    x = 4,210.63

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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.