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Finding the Fourth Proportional to 7,617.96, 11,424.60 and 2,937.60

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Solution

The fourth proportional to 7,617.96, 11,424.60 and 2,937.60 is: 4,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,617.96 : 11,424.60 = 2,937.60 : x
  2. Step 2: Convert to fraction form
    7,617.96/11,424.60 = 2,937.60/x
  3. Step 3: Cross multiply
    7,617.96x = 11,424.60 × 2,937.60
  4. Step 4: Simplify right side
    7,617.96x = 33,560,904.96
  5. Step 5: Solve for x
    x = 33,560,904.96/7,617.96
  6. Step 6: Final answer
    x = 4,405.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.