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Finding the Fourth Proportional to 8,765.96, 12,096.57 and 4,786.32

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Solution

The fourth proportional to 8,765.96, 12,096.57 and 4,786.32 is: 6,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,765.96 : 12,096.57 = 4,786.32 : x
  2. Step 2: Convert to fraction form
    8,765.96/12,096.57 = 4,786.32/x
  3. Step 3: Cross multiply
    8,765.96x = 12,096.57 × 4,786.32
  4. Step 4: Simplify right side
    8,765.96x = 57,898,118.23
  5. Step 5: Solve for x
    x = 57,898,118.23/8,765.96
  6. Step 6: Final answer
    x = 6,604.88

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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.