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Finding the Fourth Proportional to 10,186.85, 14,060.84 and 6,650.60

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Solution

The fourth proportional to 10,186.85, 14,060.84 and 6,650.60 is: 9,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.85 : 14,060.84 = 6,650.60 : x
  2. Step 2: Convert to fraction form
    10,186.85/14,060.84 = 6,650.60/x
  3. Step 3: Cross multiply
    10,186.85x = 14,060.84 × 6,650.60
  4. Step 4: Simplify right side
    10,186.85x = 93,512,918.95
  5. Step 5: Solve for x
    x = 93,512,918.95/10,186.85
  6. Step 6: Final answer
    x = 9,179.77

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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.