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Finding the Fourth Proportional to 7,894.14, 11,828.25 and 2,697.18

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Solution

The fourth proportional to 7,894.14, 11,828.25 and 2,697.18 is: 4,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.14 : 11,828.25 = 2,697.18 : x
  2. Step 2: Convert to fraction form
    7,894.14/11,828.25 = 2,697.18/x
  3. Step 3: Cross multiply
    7,894.14x = 11,828.25 × 2,697.18
  4. Step 4: Simplify right side
    7,894.14x = 31,902,919.34
  5. Step 5: Solve for x
    x = 31,902,919.34/7,894.14
  6. Step 6: Final answer
    x = 4,041.34

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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.