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Finding the Fourth Proportional to 8,165.94, 12,237.87 and 5,852.34

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Solution

The fourth proportional to 8,165.94, 12,237.87 and 5,852.34 is: 8,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.94 : 12,237.87 = 5,852.34 : x
  2. Step 2: Convert to fraction form
    8,165.94/12,237.87 = 5,852.34/x
  3. Step 3: Cross multiply
    8,165.94x = 12,237.87 × 5,852.34
  4. Step 4: Simplify right side
    8,165.94x = 71,620,176.12
  5. Step 5: Solve for x
    x = 71,620,176.12/8,165.94
  6. Step 6: Final answer
    x = 8,770.60

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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.