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Finding the Fourth Proportional to 8,866.34, 12,234.10 and 5,682.46

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Solution

The fourth proportional to 8,866.34, 12,234.10 and 5,682.46 is: 7,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.34 : 12,234.10 = 5,682.46 : x
  2. Step 2: Convert to fraction form
    8,866.34/12,234.10 = 5,682.46/x
  3. Step 3: Cross multiply
    8,866.34x = 12,234.10 × 5,682.46
  4. Step 4: Simplify right side
    8,866.34x = 69,519,783.89
  5. Step 5: Solve for x
    x = 69,519,783.89/8,866.34
  6. Step 6: Final answer
    x = 7,840.87

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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.