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Finding the Fourth Proportional to 6,706.28, 10,059.32 and 1,708.64

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Solution

The fourth proportional to 6,706.28, 10,059.32 and 1,708.64 is: 2,562.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.28 : 10,059.32 = 1,708.64 : x
  2. Step 2: Convert to fraction form
    6,706.28/10,059.32 = 1,708.64/x
  3. Step 3: Cross multiply
    6,706.28x = 10,059.32 × 1,708.64
  4. Step 4: Simplify right side
    6,706.28x = 17,187,756.52
  5. Step 5: Solve for x
    x = 17,187,756.52/6,706.28
  6. Step 6: Final answer
    x = 2,562.93

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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.