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Finding the Fourth Proportional to 11,885.44, 17,830.86 and 6,335.86

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Solution

The fourth proportional to 11,885.44, 17,830.86 and 6,335.86 is: 9,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,885.44 : 17,830.86 = 6,335.86 : x
  2. Step 2: Convert to fraction form
    11,885.44/17,830.86 = 6,335.86/x
  3. Step 3: Cross multiply
    11,885.44x = 17,830.86 × 6,335.86
  4. Step 4: Simplify right side
    11,885.44x = 112,973,832.64
  5. Step 5: Solve for x
    x = 112,973,832.64/11,885.44
  6. Step 6: Final answer
    x = 9,505.23

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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.