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Finding the Fourth Proportional to 10,678.32, 15,995.95 and 8,940.67

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Solution

The fourth proportional to 10,678.32, 15,995.95 and 8,940.67 is: 13,392.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.32 : 15,995.95 = 8,940.67 : x
  2. Step 2: Convert to fraction form
    10,678.32/15,995.95 = 8,940.67/x
  3. Step 3: Cross multiply
    10,678.32x = 15,995.95 × 8,940.67
  4. Step 4: Simplify right side
    10,678.32x = 143,014,447.94
  5. Step 5: Solve for x
    x = 143,014,447.94/10,678.32
  6. Step 6: Final answer
    x = 13,392.97

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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.