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Finding the Fourth Proportional to 7,322, 10,104.42 and 4,010

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Solution

The fourth proportional to 7,322, 10,104.42 and 4,010 is: 5,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322 : 10,104.42 = 4,010 : x
  2. Step 2: Convert to fraction form
    7,322/10,104.42 = 4,010/x
  3. Step 3: Cross multiply
    7,322x = 10,104.42 × 4,010
  4. Step 4: Simplify right side
    7,322x = 40,518,724.20
  5. Step 5: Solve for x
    x = 40,518,724.20/7,322
  6. Step 6: Final answer
    x = 5,533.83

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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.