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Finding the Fourth Proportional to 11,640.87, 17,458.07 and 4,713.75

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Solution

The fourth proportional to 11,640.87, 17,458.07 and 4,713.75 is: 7,069.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.87 : 17,458.07 = 4,713.75 : x
  2. Step 2: Convert to fraction form
    11,640.87/17,458.07 = 4,713.75/x
  3. Step 3: Cross multiply
    11,640.87x = 17,458.07 × 4,713.75
  4. Step 4: Simplify right side
    11,640.87x = 82,292,953.89
  5. Step 5: Solve for x
    x = 82,292,953.89/11,640.87
  6. Step 6: Final answer
    x = 7,069.31

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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.