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Finding the Fourth Proportional to 8,267.34, 12,373.32 and 6,786.51

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Solution

The fourth proportional to 8,267.34, 12,373.32 and 6,786.51 is: 10,157.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.34 : 12,373.32 = 6,786.51 : x
  2. Step 2: Convert to fraction form
    8,267.34/12,373.32 = 6,786.51/x
  3. Step 3: Cross multiply
    8,267.34x = 12,373.32 × 6,786.51
  4. Step 4: Simplify right side
    8,267.34x = 83,971,659.91
  5. Step 5: Solve for x
    x = 83,971,659.91/8,267.34
  6. Step 6: Final answer
    x = 10,157.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.