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Finding the Fourth Proportional to 7,898.82, 10,900.16 and 4,361.78

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Solution

The fourth proportional to 7,898.82, 10,900.16 and 4,361.78 is: 6,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,898.82 : 10,900.16 = 4,361.78 : x
  2. Step 2: Convert to fraction form
    7,898.82/10,900.16 = 4,361.78/x
  3. Step 3: Cross multiply
    7,898.82x = 10,900.16 × 4,361.78
  4. Step 4: Simplify right side
    7,898.82x = 47,544,099.88
  5. Step 5: Solve for x
    x = 47,544,099.88/7,898.82
  6. Step 6: Final answer
    x = 6,019.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.