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Finding the Fourth Proportional to 8,835.60, 12,186.78 and 5,688.78

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Solution

The fourth proportional to 8,835.60, 12,186.78 and 5,688.78 is: 7,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.60 : 12,186.78 = 5,688.78 : x
  2. Step 2: Convert to fraction form
    8,835.60/12,186.78 = 5,688.78/x
  3. Step 3: Cross multiply
    8,835.60x = 12,186.78 × 5,688.78
  4. Step 4: Simplify right side
    8,835.60x = 69,327,910.33
  5. Step 5: Solve for x
    x = 69,327,910.33/8,835.60
  6. Step 6: Final answer
    x = 7,846.43

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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.