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Finding the Fourth Proportional to 11,962.72, 16,509.45 and 6,928.30

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Solution

The fourth proportional to 11,962.72, 16,509.45 and 6,928.30 is: 9,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.72 : 16,509.45 = 6,928.30 : x
  2. Step 2: Convert to fraction form
    11,962.72/16,509.45 = 6,928.30/x
  3. Step 3: Cross multiply
    11,962.72x = 16,509.45 × 6,928.30
  4. Step 4: Simplify right side
    11,962.72x = 114,382,422.44
  5. Step 5: Solve for x
    x = 114,382,422.44/11,962.72
  6. Step 6: Final answer
    x = 9,561.57

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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.