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Finding the Fourth Proportional to 7,906.30, 11,866.26 and 4,399.81

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Solution

The fourth proportional to 7,906.30, 11,866.26 and 4,399.81 is: 6,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.30 : 11,866.26 = 4,399.81 : x
  2. Step 2: Convert to fraction form
    7,906.30/11,866.26 = 4,399.81/x
  3. Step 3: Cross multiply
    7,906.30x = 11,866.26 × 4,399.81
  4. Step 4: Simplify right side
    7,906.30x = 52,209,289.41
  5. Step 5: Solve for x
    x = 52,209,289.41/7,906.30
  6. Step 6: Final answer
    x = 6,603.50

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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.