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Finding the Fourth Proportional to 7,697.22, 11,564.32 and 4,929.26

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Solution

The fourth proportional to 7,697.22, 11,564.32 and 4,929.26 is: 7,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.22 : 11,564.32 = 4,929.26 : x
  2. Step 2: Convert to fraction form
    7,697.22/11,564.32 = 4,929.26/x
  3. Step 3: Cross multiply
    7,697.22x = 11,564.32 × 4,929.26
  4. Step 4: Simplify right side
    7,697.22x = 57,003,540.00
  5. Step 5: Solve for x
    x = 57,003,540.00/7,697.22
  6. Step 6: Final answer
    x = 7,405.73

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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.