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Finding the Fourth Proportional to 11,438.46, 17,143.96 and 5,894.40

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Solution

The fourth proportional to 11,438.46, 17,143.96 and 5,894.40 is: 8,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.46 : 17,143.96 = 5,894.40 : x
  2. Step 2: Convert to fraction form
    11,438.46/17,143.96 = 5,894.40/x
  3. Step 3: Cross multiply
    11,438.46x = 17,143.96 × 5,894.40
  4. Step 4: Simplify right side
    11,438.46x = 101,053,357.82
  5. Step 5: Solve for x
    x = 101,053,357.82/11,438.46
  6. Step 6: Final answer
    x = 8,834.52

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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.