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Finding the Fourth Proportional to 7,889.40, 11,817.90 and 4,419.36

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Solution

The fourth proportional to 7,889.40, 11,817.90 and 4,419.36 is: 6,619.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.40 : 11,817.90 = 4,419.36 : x
  2. Step 2: Convert to fraction form
    7,889.40/11,817.90 = 4,419.36/x
  3. Step 3: Cross multiply
    7,889.40x = 11,817.90 × 4,419.36
  4. Step 4: Simplify right side
    7,889.40x = 52,227,554.54
  5. Step 5: Solve for x
    x = 52,227,554.54/7,889.40
  6. Step 6: Final answer
    x = 6,619.97

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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.