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Finding the Fourth Proportional to 8,666.66, 12,993.36 and 7,181.32

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Solution

The fourth proportional to 8,666.66, 12,993.36 and 7,181.32 is: 10,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,666.66 : 12,993.36 = 7,181.32 : x
  2. Step 2: Convert to fraction form
    8,666.66/12,993.36 = 7,181.32/x
  3. Step 3: Cross multiply
    8,666.66x = 12,993.36 × 7,181.32
  4. Step 4: Simplify right side
    8,666.66x = 93,309,476.04
  5. Step 5: Solve for x
    x = 93,309,476.04/8,666.66
  6. Step 6: Final answer
    x = 10,766.49

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Why These Related Problems?

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