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Finding the Fourth Proportional to 8,731.08, 13,096.74 and 8,054

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Solution

The fourth proportional to 8,731.08, 13,096.74 and 8,054 is: 12,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.08 : 13,096.74 = 8,054 : x
  2. Step 2: Convert to fraction form
    8,731.08/13,096.74 = 8,054/x
  3. Step 3: Cross multiply
    8,731.08x = 13,096.74 × 8,054
  4. Step 4: Simplify right side
    8,731.08x = 105,481,143.96
  5. Step 5: Solve for x
    x = 105,481,143.96/8,731.08
  6. Step 6: Final answer
    x = 12,081.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.