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Finding the Fourth Proportional to 11,465.74, 17,200.31 and 4,069.58

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Solution

The fourth proportional to 11,465.74, 17,200.31 and 4,069.58 is: 6,104.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.74 : 17,200.31 = 4,069.58 : x
  2. Step 2: Convert to fraction form
    11,465.74/17,200.31 = 4,069.58/x
  3. Step 3: Cross multiply
    11,465.74x = 17,200.31 × 4,069.58
  4. Step 4: Simplify right side
    11,465.74x = 69,997,951.57
  5. Step 5: Solve for x
    x = 69,997,951.57/11,465.74
  6. Step 6: Final answer
    x = 6,104.97

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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.