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Finding the Fourth Proportional to 8,506.84, 12,761.48 and 3,573.40

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Solution

The fourth proportional to 8,506.84, 12,761.48 and 3,573.40 is: 5,360.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.84 : 12,761.48 = 3,573.40 : x
  2. Step 2: Convert to fraction form
    8,506.84/12,761.48 = 3,573.40/x
  3. Step 3: Cross multiply
    8,506.84x = 12,761.48 × 3,573.40
  4. Step 4: Simplify right side
    8,506.84x = 45,601,872.63
  5. Step 5: Solve for x
    x = 45,601,872.63/8,506.84
  6. Step 6: Final answer
    x = 5,360.61

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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.