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Finding the Fourth Proportional to 10,096.36, 13,946.34 and 8,423.32

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Solution

The fourth proportional to 10,096.36, 13,946.34 and 8,423.32 is: 11,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.36 : 13,946.34 = 8,423.32 : x
  2. Step 2: Convert to fraction form
    10,096.36/13,946.34 = 8,423.32/x
  3. Step 3: Cross multiply
    10,096.36x = 13,946.34 × 8,423.32
  4. Step 4: Simplify right side
    10,096.36x = 117,474,484.65
  5. Step 5: Solve for x
    x = 117,474,484.65/10,096.36
  6. Step 6: Final answer
    x = 11,635.33

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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.