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Finding the Fourth Proportional to 8,702.89, 13,056.48 and 2,546.89

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Solution

The fourth proportional to 8,702.89, 13,056.48 and 2,546.89 is: 3,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.89 : 13,056.48 = 2,546.89 : x
  2. Step 2: Convert to fraction form
    8,702.89/13,056.48 = 2,546.89/x
  3. Step 3: Cross multiply
    8,702.89x = 13,056.48 × 2,546.89
  4. Step 4: Simplify right side
    8,702.89x = 33,253,418.35
  5. Step 5: Solve for x
    x = 33,253,418.35/8,702.89
  6. Step 6: Final answer
    x = 3,820.96

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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.