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Finding the Fourth Proportional to 11,785.58, 17,681.25 and 3,994.46

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Solution

The fourth proportional to 11,785.58, 17,681.25 and 3,994.46 is: 5,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.58 : 17,681.25 = 3,994.46 : x
  2. Step 2: Convert to fraction form
    11,785.58/17,681.25 = 3,994.46/x
  3. Step 3: Cross multiply
    11,785.58x = 17,681.25 × 3,994.46
  4. Step 4: Simplify right side
    11,785.58x = 70,627,045.88
  5. Step 5: Solve for x
    x = 70,627,045.88/11,785.58
  6. Step 6: Final answer
    x = 5,992.67

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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.