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Finding the Fourth Proportional to 11,744.50, 17,617.58 and 4,724.55

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Solution

The fourth proportional to 11,744.50, 17,617.58 and 4,724.55 is: 7,087.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.50 : 17,617.58 = 4,724.55 : x
  2. Step 2: Convert to fraction form
    11,744.50/17,617.58 = 4,724.55/x
  3. Step 3: Cross multiply
    11,744.50x = 17,617.58 × 4,724.55
  4. Step 4: Simplify right side
    11,744.50x = 83,235,137.59
  5. Step 5: Solve for x
    x = 83,235,137.59/11,744.50
  6. Step 6: Final answer
    x = 7,087.16

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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.