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Finding the Fourth Proportional to 8,669.08, 11,960.22 and 7,831

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Solution

The fourth proportional to 8,669.08, 11,960.22 and 7,831 is: 10,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.08 : 11,960.22 = 7,831 : x
  2. Step 2: Convert to fraction form
    8,669.08/11,960.22 = 7,831/x
  3. Step 3: Cross multiply
    8,669.08x = 11,960.22 × 7,831
  4. Step 4: Simplify right side
    8,669.08x = 93,660,482.82
  5. Step 5: Solve for x
    x = 93,660,482.82/8,669.08
  6. Step 6: Final answer
    x = 10,803.97

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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.