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Finding the Fourth Proportional to 11,783.58, 17,678.25 and 3,992.46

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Solution

The fourth proportional to 11,783.58, 17,678.25 and 3,992.46 is: 5,989.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.58 : 17,678.25 = 3,992.46 : x
  2. Step 2: Convert to fraction form
    11,783.58/17,678.25 = 3,992.46/x
  3. Step 3: Cross multiply
    11,783.58x = 17,678.25 × 3,992.46
  4. Step 4: Simplify right side
    11,783.58x = 70,579,706.00
  5. Step 5: Solve for x
    x = 70,579,706.00/11,783.58
  6. Step 6: Final answer
    x = 5,989.67

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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.