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Finding the Fourth Proportional to 8,283.66, 11,431.45 and 4,506.82

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Solution

The fourth proportional to 8,283.66, 11,431.45 and 4,506.82 is: 6,219.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.66 : 11,431.45 = 4,506.82 : x
  2. Step 2: Convert to fraction form
    8,283.66/11,431.45 = 4,506.82/x
  3. Step 3: Cross multiply
    8,283.66x = 11,431.45 × 4,506.82
  4. Step 4: Simplify right side
    8,283.66x = 51,519,487.49
  5. Step 5: Solve for x
    x = 51,519,487.49/8,283.66
  6. Step 6: Final answer
    x = 6,219.41

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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.