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Finding the Fourth Proportional to 8,506.46, 11,738.98 and 4,969

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Solution

The fourth proportional to 8,506.46, 11,738.98 and 4,969 is: 6,857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.46 : 11,738.98 = 4,969 : x
  2. Step 2: Convert to fraction form
    8,506.46/11,738.98 = 4,969/x
  3. Step 3: Cross multiply
    8,506.46x = 11,738.98 × 4,969
  4. Step 4: Simplify right side
    8,506.46x = 58,330,991.62
  5. Step 5: Solve for x
    x = 58,330,991.62/8,506.46
  6. Step 6: Final answer
    x = 6,857.26

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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.