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Finding the Fourth Proportional to 11,234.81, 15,503.94 and 6,199.07

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Solution

The fourth proportional to 11,234.81, 15,503.94 and 6,199.07 is: 8,554.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.81 : 15,503.94 = 6,199.07 : x
  2. Step 2: Convert to fraction form
    11,234.81/15,503.94 = 6,199.07/x
  3. Step 3: Cross multiply
    11,234.81x = 15,503.94 × 6,199.07
  4. Step 4: Simplify right side
    11,234.81x = 96,110,009.34
  5. Step 5: Solve for x
    x = 96,110,009.34/11,234.81
  6. Step 6: Final answer
    x = 8,554.66

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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.