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Finding the Fourth Proportional to 7,897.14, 11,847 and 2,967.17

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Solution

The fourth proportional to 7,897.14, 11,847 and 2,967.17 is: 4,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.14 : 11,847 = 2,967.17 : x
  2. Step 2: Convert to fraction form
    7,897.14/11,847 = 2,967.17/x
  3. Step 3: Cross multiply
    7,897.14x = 11,847 × 2,967.17
  4. Step 4: Simplify right side
    7,897.14x = 35,152,003.76
  5. Step 5: Solve for x
    x = 35,152,003.76/7,897.14
  6. Step 6: Final answer
    x = 4,451.23

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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.