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Finding the Fourth Proportional to 7,714.64, 11,573.79 and 2,520.50

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Solution

The fourth proportional to 7,714.64, 11,573.79 and 2,520.50 is: 3,781.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.64 : 11,573.79 = 2,520.50 : x
  2. Step 2: Convert to fraction form
    7,714.64/11,573.79 = 2,520.50/x
  3. Step 3: Cross multiply
    7,714.64x = 11,573.79 × 2,520.50
  4. Step 4: Simplify right side
    7,714.64x = 29,171,737.70
  5. Step 5: Solve for x
    x = 29,171,737.70/7,714.64
  6. Step 6: Final answer
    x = 3,781.35

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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.