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Finding the Fourth Proportional to 7,468.61, 11,202.91 and 1,922.05

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Solution

The fourth proportional to 7,468.61, 11,202.91 and 1,922.05 is: 2,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.61 : 11,202.91 = 1,922.05 : x
  2. Step 2: Convert to fraction form
    7,468.61/11,202.91 = 1,922.05/x
  3. Step 3: Cross multiply
    7,468.61x = 11,202.91 × 1,922.05
  4. Step 4: Simplify right side
    7,468.61x = 21,532,593.87
  5. Step 5: Solve for x
    x = 21,532,593.87/7,468.61
  6. Step 6: Final answer
    x = 2,883.08

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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.