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Finding the Fourth Proportional to 7,289.80, 10,942.80 and 4,003

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Solution

The fourth proportional to 7,289.80, 10,942.80 and 4,003 is: 6,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.80 : 10,942.80 = 4,003 : x
  2. Step 2: Convert to fraction form
    7,289.80/10,942.80 = 4,003/x
  3. Step 3: Cross multiply
    7,289.80x = 10,942.80 × 4,003
  4. Step 4: Simplify right side
    7,289.80x = 43,804,028.40
  5. Step 5: Solve for x
    x = 43,804,028.40/7,289.80
  6. Step 6: Final answer
    x = 6,008.95

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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.