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Finding the Fourth Proportional to 11,684.72, 16,122.84 and 6,648.14

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Solution

The fourth proportional to 11,684.72, 16,122.84 and 6,648.14 is: 9,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.72 : 16,122.84 = 6,648.14 : x
  2. Step 2: Convert to fraction form
    11,684.72/16,122.84 = 6,648.14/x
  3. Step 3: Cross multiply
    11,684.72x = 16,122.84 × 6,648.14
  4. Step 4: Simplify right side
    11,684.72x = 107,186,897.52
  5. Step 5: Solve for x
    x = 107,186,897.52/11,684.72
  6. Step 6: Final answer
    x = 9,173.25

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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.