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Finding the Fourth Proportional to 8,466.87, 11,683.87 and 4,689.78

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Solution

The fourth proportional to 8,466.87, 11,683.87 and 4,689.78 is: 6,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.87 : 11,683.87 = 4,689.78 : x
  2. Step 2: Convert to fraction form
    8,466.87/11,683.87 = 4,689.78/x
  3. Step 3: Cross multiply
    8,466.87x = 11,683.87 × 4,689.78
  4. Step 4: Simplify right side
    8,466.87x = 54,794,779.85
  5. Step 5: Solve for x
    x = 54,794,779.85/8,466.87
  6. Step 6: Final answer
    x = 6,471.67

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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.