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Finding the Fourth Proportional to 11,645.46, 16,072.02 and 7,168.32

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Solution

The fourth proportional to 11,645.46, 16,072.02 and 7,168.32 is: 9,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.46 : 16,072.02 = 7,168.32 : x
  2. Step 2: Convert to fraction form
    11,645.46/16,072.02 = 7,168.32/x
  3. Step 3: Cross multiply
    11,645.46x = 16,072.02 × 7,168.32
  4. Step 4: Simplify right side
    11,645.46x = 115,209,382.41
  5. Step 5: Solve for x
    x = 115,209,382.41/11,645.46
  6. Step 6: Final answer
    x = 9,893.07

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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.