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Finding the Fourth Proportional to 11,885.04, 17,829.48 and 4,092

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Solution

The fourth proportional to 11,885.04, 17,829.48 and 4,092 is: 6,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.04 : 17,829.48 = 4,092 : x
  2. Step 2: Convert to fraction form
    11,885.04/17,829.48 = 4,092/x
  3. Step 3: Cross multiply
    11,885.04x = 17,829.48 × 4,092
  4. Step 4: Simplify right side
    11,885.04x = 72,958,232.16
  5. Step 5: Solve for x
    x = 72,958,232.16/11,885.04
  6. Step 6: Final answer
    x = 6,138.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.