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Finding the Fourth Proportional to 6,706.60, 10,059.90 and 5,613.10

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Solution

The fourth proportional to 6,706.60, 10,059.90 and 5,613.10 is: 8,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.60 : 10,059.90 = 5,613.10 : x
  2. Step 2: Convert to fraction form
    6,706.60/10,059.90 = 5,613.10/x
  3. Step 3: Cross multiply
    6,706.60x = 10,059.90 × 5,613.10
  4. Step 4: Simplify right side
    6,706.60x = 56,467,224.69
  5. Step 5: Solve for x
    x = 56,467,224.69/6,706.60
  6. Step 6: Final answer
    x = 8,419.65

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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.