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Finding the Fourth Proportional to 11,556, 17,334.64 and 3,348.64

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Solution

The fourth proportional to 11,556, 17,334.64 and 3,348.64 is: 5,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,556 : 17,334.64 = 3,348.64 : x
  2. Step 2: Convert to fraction form
    11,556/17,334.64 = 3,348.64/x
  3. Step 3: Cross multiply
    11,556x = 17,334.64 × 3,348.64
  4. Step 4: Simplify right side
    11,556x = 58,047,468.89
  5. Step 5: Solve for x
    x = 58,047,468.89/11,556
  6. Step 6: Final answer
    x = 5,023.15

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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.