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Finding the Fourth Proportional to 11,598.08, 17,400 and 3,390.08

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Solution

The fourth proportional to 11,598.08, 17,400 and 3,390.08 is: 5,085.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.08 : 17,400 = 3,390.08 : x
  2. Step 2: Convert to fraction form
    11,598.08/17,400 = 3,390.08/x
  3. Step 3: Cross multiply
    11,598.08x = 17,400 × 3,390.08
  4. Step 4: Simplify right side
    11,598.08x = 58,987,392
  5. Step 5: Solve for x
    x = 58,987,392/11,598.08
  6. Step 6: Final answer
    x = 5,085.96

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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.