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Finding the Fourth Proportional to 10,159.86, 14,014.44 and 6,183.76

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Solution

The fourth proportional to 10,159.86, 14,014.44 and 6,183.76 is: 8,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.86 : 14,014.44 = 6,183.76 : x
  2. Step 2: Convert to fraction form
    10,159.86/14,014.44 = 6,183.76/x
  3. Step 3: Cross multiply
    10,159.86x = 14,014.44 × 6,183.76
  4. Step 4: Simplify right side
    10,159.86x = 86,661,933.49
  5. Step 5: Solve for x
    x = 86,661,933.49/10,159.86
  6. Step 6: Final answer
    x = 8,529.84

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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.