Home / 7,824.08-11,740.44-3,206

Finding the Fourth Proportional to 7,824.08, 11,740.44 and 3,206

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Solution

The fourth proportional to 7,824.08, 11,740.44 and 3,206 is: 4,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.08 : 11,740.44 = 3,206 : x
  2. Step 2: Convert to fraction form
    7,824.08/11,740.44 = 3,206/x
  3. Step 3: Cross multiply
    7,824.08x = 11,740.44 × 3,206
  4. Step 4: Simplify right side
    7,824.08x = 37,639,850.64
  5. Step 5: Solve for x
    x = 37,639,850.64/7,824.08
  6. Step 6: Final answer
    x = 4,810.77

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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.