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Finding the Fourth Proportional to 8,467.35, 11,677.60 and 6,347.67

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Solution

The fourth proportional to 8,467.35, 11,677.60 and 6,347.67 is: 8,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.35 : 11,677.60 = 6,347.67 : x
  2. Step 2: Convert to fraction form
    8,467.35/11,677.60 = 6,347.67/x
  3. Step 3: Cross multiply
    8,467.35x = 11,677.60 × 6,347.67
  4. Step 4: Simplify right side
    8,467.35x = 74,125,515.34
  5. Step 5: Solve for x
    x = 74,125,515.34/8,467.35
  6. Step 6: Final answer
    x = 8,754.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.