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Finding the Fourth Proportional to 11,648.21, 16,076.80 and 7,404.21

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Solution

The fourth proportional to 11,648.21, 16,076.80 and 7,404.21 is: 10,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.21 : 16,076.80 = 7,404.21 : x
  2. Step 2: Convert to fraction form
    11,648.21/16,076.80 = 7,404.21/x
  3. Step 3: Cross multiply
    11,648.21x = 16,076.80 × 7,404.21
  4. Step 4: Simplify right side
    11,648.21x = 119,036,003.33
  5. Step 5: Solve for x
    x = 119,036,003.33/11,648.21
  6. Step 6: Final answer
    x = 10,219.25

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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.