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Finding the Fourth Proportional to 7,192.32, 9,924.24 and 4,047.84

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Solution

The fourth proportional to 7,192.32, 9,924.24 and 4,047.84 is: 5,585.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.32 : 9,924.24 = 4,047.84 : x
  2. Step 2: Convert to fraction form
    7,192.32/9,924.24 = 4,047.84/x
  3. Step 3: Cross multiply
    7,192.32x = 9,924.24 × 4,047.84
  4. Step 4: Simplify right side
    7,192.32x = 40,171,735.64
  5. Step 5: Solve for x
    x = 40,171,735.64/7,192.32
  6. Step 6: Final answer
    x = 5,585.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.