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Finding the Fourth Proportional to 11,648.46, 16,076.16 and 7,171.32

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Solution

The fourth proportional to 11,648.46, 16,076.16 and 7,171.32 is: 9,897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.46 : 16,076.16 = 7,171.32 : x
  2. Step 2: Convert to fraction form
    11,648.46/16,076.16 = 7,171.32/x
  3. Step 3: Cross multiply
    11,648.46x = 16,076.16 × 7,171.32
  4. Step 4: Simplify right side
    11,648.46x = 115,287,287.73
  5. Step 5: Solve for x
    x = 115,287,287.73/11,648.46
  6. Step 6: Final answer
    x = 9,897.21

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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.