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Finding the Fourth Proportional to 11,928.12, 17,881.22 and 6,077.88

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Solution

The fourth proportional to 11,928.12, 17,881.22 and 6,077.88 is: 9,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.12 : 17,881.22 = 6,077.88 : x
  2. Step 2: Convert to fraction form
    11,928.12/17,881.22 = 6,077.88/x
  3. Step 3: Cross multiply
    11,928.12x = 17,881.22 × 6,077.88
  4. Step 4: Simplify right side
    11,928.12x = 108,679,909.41
  5. Step 5: Solve for x
    x = 108,679,909.41/11,928.12
  6. Step 6: Final answer
    x = 9,111.24

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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.