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Finding the Fourth Proportional to 11,885.76, 16,404.26 and 6,782.93

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Solution

The fourth proportional to 11,885.76, 16,404.26 and 6,782.93 is: 9,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.76 : 16,404.26 = 6,782.93 : x
  2. Step 2: Convert to fraction form
    11,885.76/16,404.26 = 6,782.93/x
  3. Step 3: Cross multiply
    11,885.76x = 16,404.26 × 6,782.93
  4. Step 4: Simplify right side
    11,885.76x = 111,268,892.86
  5. Step 5: Solve for x
    x = 111,268,892.86/11,885.76
  6. Step 6: Final answer
    x = 9,361.53

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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.