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Finding the Fourth Proportional to 7,556.80, 11,333.58 and 2,362

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Solution

The fourth proportional to 7,556.80, 11,333.58 and 2,362 is: 3,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,556.80 : 11,333.58 = 2,362 : x
  2. Step 2: Convert to fraction form
    7,556.80/11,333.58 = 2,362/x
  3. Step 3: Cross multiply
    7,556.80x = 11,333.58 × 2,362
  4. Step 4: Simplify right side
    7,556.80x = 26,769,915.96
  5. Step 5: Solve for x
    x = 26,769,915.96/7,556.80
  6. Step 6: Final answer
    x = 3,542.49

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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.