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Finding the Fourth Proportional to 10,096.92, 13,929.88 and 7,450.64

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Solution

The fourth proportional to 10,096.92, 13,929.88 and 7,450.64 is: 10,279.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.92 : 13,929.88 = 7,450.64 : x
  2. Step 2: Convert to fraction form
    10,096.92/13,929.88 = 7,450.64/x
  3. Step 3: Cross multiply
    10,096.92x = 13,929.88 × 7,450.64
  4. Step 4: Simplify right side
    10,096.92x = 103,786,521.12
  5. Step 5: Solve for x
    x = 103,786,521.12/10,096.92
  6. Step 6: Final answer
    x = 10,279.03

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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.