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Finding the Fourth Proportional to 7,092.32, 10,640.35 and 2,162.00

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Solution

The fourth proportional to 7,092.32, 10,640.35 and 2,162.00 is: 3,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.32 : 10,640.35 = 2,162.00 : x
  2. Step 2: Convert to fraction form
    7,092.32/10,640.35 = 2,162.00/x
  3. Step 3: Cross multiply
    7,092.32x = 10,640.35 × 2,162.00
  4. Step 4: Simplify right side
    7,092.32x = 23,004,415.50
  5. Step 5: Solve for x
    x = 23,004,415.50/7,092.32
  6. Step 6: Final answer
    x = 3,243.57

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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.