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Finding the Fourth Proportional to 7,223.92, 10,832.64 and 2,292.64

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Solution

The fourth proportional to 7,223.92, 10,832.64 and 2,292.64 is: 3,437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.92 : 10,832.64 = 2,292.64 : x
  2. Step 2: Convert to fraction form
    7,223.92/10,832.64 = 2,292.64/x
  3. Step 3: Cross multiply
    7,223.92x = 10,832.64 × 2,292.64
  4. Step 4: Simplify right side
    7,223.92x = 24,835,343.77
  5. Step 5: Solve for x
    x = 24,835,343.77/7,223.92
  6. Step 6: Final answer
    x = 3,437.93

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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.