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Finding the Fourth Proportional to 8,283.82, 11,431.67 and 4,506.99

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Solution

The fourth proportional to 8,283.82, 11,431.67 and 4,506.99 is: 6,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.82 : 11,431.67 = 4,506.99 : x
  2. Step 2: Convert to fraction form
    8,283.82/11,431.67 = 4,506.99/x
  3. Step 3: Cross multiply
    8,283.82x = 11,431.67 × 4,506.99
  4. Step 4: Simplify right side
    8,283.82x = 51,522,389.34
  5. Step 5: Solve for x
    x = 51,522,389.34/8,283.82
  6. Step 6: Final answer
    x = 6,219.64

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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.