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Finding the Fourth Proportional to 8,653.45, 11,933.78 and 5,777.11

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Solution

The fourth proportional to 8,653.45, 11,933.78 and 5,777.11 is: 7,967.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.45 : 11,933.78 = 5,777.11 : x
  2. Step 2: Convert to fraction form
    8,653.45/11,933.78 = 5,777.11/x
  3. Step 3: Cross multiply
    8,653.45x = 11,933.78 × 5,777.11
  4. Step 4: Simplify right side
    8,653.45x = 68,942,759.78
  5. Step 5: Solve for x
    x = 68,942,759.78/8,653.45
  6. Step 6: Final answer
    x = 7,967.09

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1.5x scale

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.