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Finding the Fourth Proportional to 8,116.63, 12,165.71 and 3,433.72

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Solution

The fourth proportional to 8,116.63, 12,165.71 and 3,433.72 is: 5,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.63 : 12,165.71 = 3,433.72 : x
  2. Step 2: Convert to fraction form
    8,116.63/12,165.71 = 3,433.72/x
  3. Step 3: Cross multiply
    8,116.63x = 12,165.71 × 3,433.72
  4. Step 4: Simplify right side
    8,116.63x = 41,773,580.91
  5. Step 5: Solve for x
    x = 41,773,580.91/8,116.63
  6. Step 6: Final answer
    x = 5,146.67

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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.