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Finding the Fourth Proportional to 11,907.28, 16,424.22 and 7,651.64

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Solution

The fourth proportional to 11,907.28, 16,424.22 and 7,651.64 is: 10,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.28 : 16,424.22 = 7,651.64 : x
  2. Step 2: Convert to fraction form
    11,907.28/16,424.22 = 7,651.64/x
  3. Step 3: Cross multiply
    11,907.28x = 16,424.22 × 7,651.64
  4. Step 4: Simplify right side
    11,907.28x = 125,672,218.72
  5. Step 5: Solve for x
    x = 125,672,218.72/11,907.28
  6. Step 6: Final answer
    x = 10,554.23

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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.