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Finding the Fourth Proportional to 8,638.60, 11,921 and 4,861.96

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Solution

The fourth proportional to 8,638.60, 11,921 and 4,861.96 is: 6,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.60 : 11,921 = 4,861.96 : x
  2. Step 2: Convert to fraction form
    8,638.60/11,921 = 4,861.96/x
  3. Step 3: Cross multiply
    8,638.60x = 11,921 × 4,861.96
  4. Step 4: Simplify right side
    8,638.60x = 57,959,425.16
  5. Step 5: Solve for x
    x = 57,959,425.16/8,638.60
  6. Step 6: Final answer
    x = 6,709.35

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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.