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Finding the Fourth Proportional to 11,102.46, 16,657.40 and 6,937.44

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Solution

The fourth proportional to 11,102.46, 16,657.40 and 6,937.44 is: 10,408.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.46 : 16,657.40 = 6,937.44 : x
  2. Step 2: Convert to fraction form
    11,102.46/16,657.40 = 6,937.44/x
  3. Step 3: Cross multiply
    11,102.46x = 16,657.40 × 6,937.44
  4. Step 4: Simplify right side
    11,102.46x = 115,559,713.06
  5. Step 5: Solve for x
    x = 115,559,713.06/11,102.46
  6. Step 6: Final answer
    x = 10,408.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.