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Finding the Fourth Proportional to 8,294.36, 11,446.26 and 4,758.44

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Solution

The fourth proportional to 8,294.36, 11,446.26 and 4,758.44 is: 6,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.36 : 11,446.26 = 4,758.44 : x
  2. Step 2: Convert to fraction form
    8,294.36/11,446.26 = 4,758.44/x
  3. Step 3: Cross multiply
    8,294.36x = 11,446.26 × 4,758.44
  4. Step 4: Simplify right side
    8,294.36x = 54,466,341.43
  5. Step 5: Solve for x
    x = 54,466,341.43/8,294.36
  6. Step 6: Final answer
    x = 6,566.67

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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.