Home / 7,827.82-11,744.43-4,902.64

Finding the Fourth Proportional to 7,827.82, 11,744.43 and 4,902.64

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Solution

The fourth proportional to 7,827.82, 11,744.43 and 4,902.64 is: 7,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.82 : 11,744.43 = 4,902.64 : x
  2. Step 2: Convert to fraction form
    7,827.82/11,744.43 = 4,902.64/x
  3. Step 3: Cross multiply
    7,827.82x = 11,744.43 × 4,902.64
  4. Step 4: Simplify right side
    7,827.82x = 57,578,712.30
  5. Step 5: Solve for x
    x = 57,578,712.30/7,827.82
  6. Step 6: Final answer
    x = 7,355.65

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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.