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Finding the Fourth Proportional to 11,234.84, 15,503.96 and 6,199.09

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Solution

The fourth proportional to 11,234.84, 15,503.96 and 6,199.09 is: 8,554.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.84 : 15,503.96 = 6,199.09 : x
  2. Step 2: Convert to fraction form
    11,234.84/15,503.96 = 6,199.09/x
  3. Step 3: Cross multiply
    11,234.84x = 15,503.96 × 6,199.09
  4. Step 4: Simplify right side
    11,234.84x = 96,110,373.64
  5. Step 5: Solve for x
    x = 96,110,373.64/11,234.84
  6. Step 6: Final answer
    x = 8,554.68

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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.