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Finding the Fourth Proportional to 10,186.37, 14,064.06 and 6,363.85

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Solution

The fourth proportional to 10,186.37, 14,064.06 and 6,363.85 is: 8,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.37 : 14,064.06 = 6,363.85 : x
  2. Step 2: Convert to fraction form
    10,186.37/14,064.06 = 6,363.85/x
  3. Step 3: Cross multiply
    10,186.37x = 14,064.06 × 6,363.85
  4. Step 4: Simplify right side
    10,186.37x = 89,501,622.86
  5. Step 5: Solve for x
    x = 89,501,622.86/10,186.37
  6. Step 6: Final answer
    x = 8,786.41

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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.