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Finding the Fourth Proportional to 11,640.87, 17,456.18 and 3,319

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Solution

The fourth proportional to 11,640.87, 17,456.18 and 3,319 is: 4,977.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.87 : 17,456.18 = 3,319 : x
  2. Step 2: Convert to fraction form
    11,640.87/17,456.18 = 3,319/x
  3. Step 3: Cross multiply
    11,640.87x = 17,456.18 × 3,319
  4. Step 4: Simplify right side
    11,640.87x = 57,937,061.42
  5. Step 5: Solve for x
    x = 57,937,061.42/11,640.87
  6. Step 6: Final answer
    x = 4,977.04

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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.