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Finding the Fourth Proportional to 8,678.96, 13,021.56 and 2,835.60

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Solution

The fourth proportional to 8,678.96, 13,021.56 and 2,835.60 is: 4,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.96 : 13,021.56 = 2,835.60 : x
  2. Step 2: Convert to fraction form
    8,678.96/13,021.56 = 2,835.60/x
  3. Step 3: Cross multiply
    8,678.96x = 13,021.56 × 2,835.60
  4. Step 4: Simplify right side
    8,678.96x = 36,923,935.54
  5. Step 5: Solve for x
    x = 36,923,935.54/8,678.96
  6. Step 6: Final answer
    x = 4,254.42

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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.