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Finding the Fourth Proportional to 8,294.43, 11,457.26 and 6,145.33

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Solution

The fourth proportional to 8,294.43, 11,457.26 and 6,145.33 is: 8,488.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.43 : 11,457.26 = 6,145.33 : x
  2. Step 2: Convert to fraction form
    8,294.43/11,457.26 = 6,145.33/x
  3. Step 3: Cross multiply
    8,294.43x = 11,457.26 × 6,145.33
  4. Step 4: Simplify right side
    8,294.43x = 70,408,643.60
  5. Step 5: Solve for x
    x = 70,408,643.60/8,294.43
  6. Step 6: Final answer
    x = 8,488.67

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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.