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Finding the Fourth Proportional to 6,706.58, 10,059.97 and 2,026.63

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Solution

The fourth proportional to 6,706.58, 10,059.97 and 2,026.63 is: 3,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.58 : 10,059.97 = 2,026.63 : x
  2. Step 2: Convert to fraction form
    6,706.58/10,059.97 = 2,026.63/x
  3. Step 3: Cross multiply
    6,706.58x = 10,059.97 × 2,026.63
  4. Step 4: Simplify right side
    6,706.58x = 20,387,849.58
  5. Step 5: Solve for x
    x = 20,387,849.58/6,706.58
  6. Step 6: Final answer
    x = 3,039.98

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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.