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Finding the Fourth Proportional to 10,394.55, 14,311.22 and 8,411.67

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Solution

The fourth proportional to 10,394.55, 14,311.22 and 8,411.67 is: 11,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.55 : 14,311.22 = 8,411.67 : x
  2. Step 2: Convert to fraction form
    10,394.55/14,311.22 = 8,411.67/x
  3. Step 3: Cross multiply
    10,394.55x = 14,311.22 × 8,411.67
  4. Step 4: Simplify right side
    10,394.55x = 120,381,217.88
  5. Step 5: Solve for x
    x = 120,381,217.88/10,394.55
  6. Step 6: Final answer
    x = 11,581.19

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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.