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Finding the Fourth Proportional to 11,907.87, 17,826.76 and 7,949.31

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Solution

The fourth proportional to 11,907.87, 17,826.76 and 7,949.31 is: 11,900.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.87 : 17,826.76 = 7,949.31 : x
  2. Step 2: Convert to fraction form
    11,907.87/17,826.76 = 7,949.31/x
  3. Step 3: Cross multiply
    11,907.87x = 17,826.76 × 7,949.31
  4. Step 4: Simplify right side
    11,907.87x = 141,710,362.26
  5. Step 5: Solve for x
    x = 141,710,362.26/11,907.87
  6. Step 6: Final answer
    x = 11,900.56

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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.