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Finding the Fourth Proportional to 10,939.50, 15,096.32 and 6,094.16

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Solution

The fourth proportional to 10,939.50, 15,096.32 and 6,094.16 is: 8,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,939.50 : 15,096.32 = 6,094.16 : x
  2. Step 2: Convert to fraction form
    10,939.50/15,096.32 = 6,094.16/x
  3. Step 3: Cross multiply
    10,939.50x = 15,096.32 × 6,094.16
  4. Step 4: Simplify right side
    10,939.50x = 91,999,389.49
  5. Step 5: Solve for x
    x = 91,999,389.49/10,939.50
  6. Step 6: Final answer
    x = 8,409.83

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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.