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Finding the Fourth Proportional to 11,852.32, 17,772.30 and 5,922.76

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Solution

The fourth proportional to 11,852.32, 17,772.30 and 5,922.76 is: 8,881.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.32 : 17,772.30 = 5,922.76 : x
  2. Step 2: Convert to fraction form
    11,852.32/17,772.30 = 5,922.76/x
  3. Step 3: Cross multiply
    11,852.32x = 17,772.30 × 5,922.76
  4. Step 4: Simplify right side
    11,852.32x = 105,261,067.55
  5. Step 5: Solve for x
    x = 105,261,067.55/11,852.32
  6. Step 6: Final answer
    x = 8,881.05

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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.