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Finding the Fourth Proportional to 7,714.14, 11,573.01 and 2,520

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Solution

The fourth proportional to 7,714.14, 11,573.01 and 2,520 is: 3,780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.14 : 11,573.01 = 2,520 : x
  2. Step 2: Convert to fraction form
    7,714.14/11,573.01 = 2,520/x
  3. Step 3: Cross multiply
    7,714.14x = 11,573.01 × 2,520
  4. Step 4: Simplify right side
    7,714.14x = 29,163,985.20
  5. Step 5: Solve for x
    x = 29,163,985.20/7,714.14
  6. Step 6: Final answer
    x = 3,780.59

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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.