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Finding the Fourth Proportional to 8,506.80, 11,738.70 and 4,969.62

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Solution

The fourth proportional to 8,506.80, 11,738.70 and 4,969.62 is: 6,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.80 : 11,738.70 = 4,969.62 : x
  2. Step 2: Convert to fraction form
    8,506.80/11,738.70 = 4,969.62/x
  3. Step 3: Cross multiply
    8,506.80x = 11,738.70 × 4,969.62
  4. Step 4: Simplify right side
    8,506.80x = 58,336,878.29
  5. Step 5: Solve for x
    x = 58,336,878.29/8,506.80
  6. Step 6: Final answer
    x = 6,857.68

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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.