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Finding the Fourth Proportional to 11,389.98, 17,085.34 and 3,999.58

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Solution

The fourth proportional to 11,389.98, 17,085.34 and 3,999.58 is: 5,999.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.98 : 17,085.34 = 3,999.58 : x
  2. Step 2: Convert to fraction form
    11,389.98/17,085.34 = 3,999.58/x
  3. Step 3: Cross multiply
    11,389.98x = 17,085.34 × 3,999.58
  4. Step 4: Simplify right side
    11,389.98x = 68,334,184.16
  5. Step 5: Solve for x
    x = 68,334,184.16/11,389.98
  6. Step 6: Final answer
    x = 5,999.50

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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.