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Finding the Fourth Proportional to 8,549.85, 12,826.70 and 3,003.58

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Solution

The fourth proportional to 8,549.85, 12,826.70 and 3,003.58 is: 4,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.85 : 12,826.70 = 3,003.58 : x
  2. Step 2: Convert to fraction form
    8,549.85/12,826.70 = 3,003.58/x
  3. Step 3: Cross multiply
    8,549.85x = 12,826.70 × 3,003.58
  4. Step 4: Simplify right side
    8,549.85x = 38,525,940.43
  5. Step 5: Solve for x
    x = 38,525,940.43/8,549.85
  6. Step 6: Final answer
    x = 4,506.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.