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Finding the Fourth Proportional to 10,873.14, 15,004.89 and 6,157.86

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Solution

The fourth proportional to 10,873.14, 15,004.89 and 6,157.86 is: 8,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.14 : 15,004.89 = 6,157.86 : x
  2. Step 2: Convert to fraction form
    10,873.14/15,004.89 = 6,157.86/x
  3. Step 3: Cross multiply
    10,873.14x = 15,004.89 × 6,157.86
  4. Step 4: Simplify right side
    10,873.14x = 92,398,011.94
  5. Step 5: Solve for x
    x = 92,398,011.94/10,873.14
  6. Step 6: Final answer
    x = 8,497.82

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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.