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Finding the Fourth Proportional to 8,283.34, 11,431.20 and 4,506.72

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Solution

The fourth proportional to 8,283.34, 11,431.20 and 4,506.72 is: 6,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.34 : 11,431.20 = 4,506.72 : x
  2. Step 2: Convert to fraction form
    8,283.34/11,431.20 = 4,506.72/x
  3. Step 3: Cross multiply
    8,283.34x = 11,431.20 × 4,506.72
  4. Step 4: Simplify right side
    8,283.34x = 51,517,217.66
  5. Step 5: Solve for x
    x = 51,517,217.66/8,283.34
  6. Step 6: Final answer
    x = 6,219.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.