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Finding the Fourth Proportional to 6,706.08, 10,056.96 and 3,195.72

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Solution

The fourth proportional to 6,706.08, 10,056.96 and 3,195.72 is: 4,792.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.08 : 10,056.96 = 3,195.72 : x
  2. Step 2: Convert to fraction form
    6,706.08/10,056.96 = 3,195.72/x
  3. Step 3: Cross multiply
    6,706.08x = 10,056.96 × 3,195.72
  4. Step 4: Simplify right side
    6,706.08x = 32,139,228.21
  5. Step 5: Solve for x
    x = 32,139,228.21/6,706.08
  6. Step 6: Final answer
    x = 4,792.55

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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.