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Finding the Fourth Proportional to 10,668.34, 14,722.32 and 6,193

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Solution

The fourth proportional to 10,668.34, 14,722.32 and 6,193 is: 8,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,668.34 : 14,722.32 = 6,193 : x
  2. Step 2: Convert to fraction form
    10,668.34/14,722.32 = 6,193/x
  3. Step 3: Cross multiply
    10,668.34x = 14,722.32 × 6,193
  4. Step 4: Simplify right side
    10,668.34x = 91,175,327.76
  5. Step 5: Solve for x
    x = 91,175,327.76/10,668.34
  6. Step 6: Final answer
    x = 8,546.35

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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.