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Finding the Fourth Proportional to 7,883.46, 11,820.42 and 6,714

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Solution

The fourth proportional to 7,883.46, 11,820.42 and 6,714 is: 10,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.46 : 11,820.42 = 6,714 : x
  2. Step 2: Convert to fraction form
    7,883.46/11,820.42 = 6,714/x
  3. Step 3: Cross multiply
    7,883.46x = 11,820.42 × 6,714
  4. Step 4: Simplify right side
    7,883.46x = 79,362,299.88
  5. Step 5: Solve for x
    x = 79,362,299.88/7,883.46
  6. Step 6: Final answer
    x = 10,066.94

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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.