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Finding the Fourth Proportional to 11,466.48, 17,200.08 and 4,072.08

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Solution

The fourth proportional to 11,466.48, 17,200.08 and 4,072.08 is: 6,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.48 : 17,200.08 = 4,072.08 : x
  2. Step 2: Convert to fraction form
    11,466.48/17,200.08 = 4,072.08/x
  3. Step 3: Cross multiply
    11,466.48x = 17,200.08 × 4,072.08
  4. Step 4: Simplify right side
    11,466.48x = 70,040,101.77
  5. Step 5: Solve for x
    x = 70,040,101.77/11,466.48
  6. Step 6: Final answer
    x = 6,108.25

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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.