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Finding the Fourth Proportional to 11,922.32, 16,441.35 and 7,141.49

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Solution

The fourth proportional to 11,922.32, 16,441.35 and 7,141.49 is: 9,848.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.32 : 16,441.35 = 7,141.49 : x
  2. Step 2: Convert to fraction form
    11,922.32/16,441.35 = 7,141.49/x
  3. Step 3: Cross multiply
    11,922.32x = 16,441.35 × 7,141.49
  4. Step 4: Simplify right side
    11,922.32x = 117,415,736.61
  5. Step 5: Solve for x
    x = 117,415,736.61/11,922.32
  6. Step 6: Final answer
    x = 9,848.40

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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.