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Finding the Fourth Proportional to 11,170.98, 15,415.74 and 6,135.03

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Solution

The fourth proportional to 11,170.98, 15,415.74 and 6,135.03 is: 8,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,170.98 : 15,415.74 = 6,135.03 : x
  2. Step 2: Convert to fraction form
    11,170.98/15,415.74 = 6,135.03/x
  3. Step 3: Cross multiply
    11,170.98x = 15,415.74 × 6,135.03
  4. Step 4: Simplify right side
    11,170.98x = 94,576,027.37
  5. Step 5: Solve for x
    x = 94,576,027.37/11,170.98
  6. Step 6: Final answer
    x = 8,466.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.