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Finding the Fourth Proportional to 7,734.60, 11,619.18 and 7,443

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Solution

The fourth proportional to 7,734.60, 11,619.18 and 7,443 is: 11,181.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.60 : 11,619.18 = 7,443 : x
  2. Step 2: Convert to fraction form
    7,734.60/11,619.18 = 7,443/x
  3. Step 3: Cross multiply
    7,734.60x = 11,619.18 × 7,443
  4. Step 4: Simplify right side
    7,734.60x = 86,481,556.74
  5. Step 5: Solve for x
    x = 86,481,556.74/7,734.60
  6. Step 6: Final answer
    x = 11,181.13

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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.