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Finding the Fourth Proportional to 7,714.58, 11,580.10 and 6,796.04

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Solution

The fourth proportional to 7,714.58, 11,580.10 and 6,796.04 is: 10,201.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.58 : 11,580.10 = 6,796.04 : x
  2. Step 2: Convert to fraction form
    7,714.58/11,580.10 = 6,796.04/x
  3. Step 3: Cross multiply
    7,714.58x = 11,580.10 × 6,796.04
  4. Step 4: Simplify right side
    7,714.58x = 78,698,747.91
  5. Step 5: Solve for x
    x = 78,698,747.91/7,714.58
  6. Step 6: Final answer
    x = 10,201.31

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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.