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Finding the Fourth Proportional to 11,907.97, 16,433.65 and 6,602.67

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Solution

The fourth proportional to 11,907.97, 16,433.65 and 6,602.67 is: 9,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.97 : 16,433.65 = 6,602.67 : x
  2. Step 2: Convert to fraction form
    11,907.97/16,433.65 = 6,602.67/x
  3. Step 3: Cross multiply
    11,907.97x = 16,433.65 × 6,602.67
  4. Step 4: Simplify right side
    11,907.97x = 108,505,976.10
  5. Step 5: Solve for x
    x = 108,505,976.10/11,907.97
  6. Step 6: Final answer
    x = 9,112.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.