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Finding the Fourth Proportional to 11,441.58, 15,783.39 and 8,642.22

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Solution

The fourth proportional to 11,441.58, 15,783.39 and 8,642.22 is: 11,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.58 : 15,783.39 = 8,642.22 : x
  2. Step 2: Convert to fraction form
    11,441.58/15,783.39 = 8,642.22/x
  3. Step 3: Cross multiply
    11,441.58x = 15,783.39 × 8,642.22
  4. Step 4: Simplify right side
    11,441.58x = 136,403,528.73
  5. Step 5: Solve for x
    x = 136,403,528.73/11,441.58
  6. Step 6: Final answer
    x = 11,921.74

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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.