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Finding the Fourth Proportional to 7,978.40, 11,989.56 and 4,283.36

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Solution

The fourth proportional to 7,978.40, 11,989.56 and 4,283.36 is: 6,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.40 : 11,989.56 = 4,283.36 : x
  2. Step 2: Convert to fraction form
    7,978.40/11,989.56 = 4,283.36/x
  3. Step 3: Cross multiply
    7,978.40x = 11,989.56 × 4,283.36
  4. Step 4: Simplify right side
    7,978.40x = 51,355,601.72
  5. Step 5: Solve for x
    x = 51,355,601.72/7,978.40
  6. Step 6: Final answer
    x = 6,436.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.