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Finding the Fourth Proportional to 7,874.37, 11,815.67 and 5,100.32

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Solution

The fourth proportional to 7,874.37, 11,815.67 and 5,100.32 is: 7,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.37 : 11,815.67 = 5,100.32 : x
  2. Step 2: Convert to fraction form
    7,874.37/11,815.67 = 5,100.32/x
  3. Step 3: Cross multiply
    7,874.37x = 11,815.67 × 5,100.32
  4. Step 4: Simplify right side
    7,874.37x = 60,263,740.30
  5. Step 5: Solve for x
    x = 60,263,740.30/7,874.37
  6. Step 6: Final answer
    x = 7,653.15

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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.