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Finding the Fourth Proportional to 7,509.92, 11,236.60 and 4,611.24

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Solution

The fourth proportional to 7,509.92, 11,236.60 and 4,611.24 is: 6,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.92 : 11,236.60 = 4,611.24 : x
  2. Step 2: Convert to fraction form
    7,509.92/11,236.60 = 4,611.24/x
  3. Step 3: Cross multiply
    7,509.92x = 11,236.60 × 4,611.24
  4. Step 4: Simplify right side
    7,509.92x = 51,814,659.38
  5. Step 5: Solve for x
    x = 51,814,659.38/7,509.92
  6. Step 6: Final answer
    x = 6,899.50

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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.