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Finding the Fourth Proportional to 7,697.92, 11,548.32 and 3,081.28

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Solution

The fourth proportional to 7,697.92, 11,548.32 and 3,081.28 is: 4,622.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.92 : 11,548.32 = 3,081.28 : x
  2. Step 2: Convert to fraction form
    7,697.92/11,548.32 = 3,081.28/x
  3. Step 3: Cross multiply
    7,697.92x = 11,548.32 × 3,081.28
  4. Step 4: Simplify right side
    7,697.92x = 35,583,607.45
  5. Step 5: Solve for x
    x = 35,583,607.45/7,697.92
  6. Step 6: Final answer
    x = 4,622.50

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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.