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Finding the Fourth Proportional to 7,842.88, 11,766.36 and 2,913.94

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Solution

The fourth proportional to 7,842.88, 11,766.36 and 2,913.94 is: 4,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.88 : 11,766.36 = 2,913.94 : x
  2. Step 2: Convert to fraction form
    7,842.88/11,766.36 = 2,913.94/x
  3. Step 3: Cross multiply
    7,842.88x = 11,766.36 × 2,913.94
  4. Step 4: Simplify right side
    7,842.88x = 34,286,467.06
  5. Step 5: Solve for x
    x = 34,286,467.06/7,842.88
  6. Step 6: Final answer
    x = 4,371.67

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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.