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Finding the Fourth Proportional to 11,492.96, 17,205.42 and 7,096.28

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Solution

The fourth proportional to 11,492.96, 17,205.42 and 7,096.28 is: 10,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.96 : 17,205.42 = 7,096.28 : x
  2. Step 2: Convert to fraction form
    11,492.96/17,205.42 = 7,096.28/x
  3. Step 3: Cross multiply
    11,492.96x = 17,205.42 × 7,096.28
  4. Step 4: Simplify right side
    11,492.96x = 122,094,477.84
  5. Step 5: Solve for x
    x = 122,094,477.84/11,492.96
  6. Step 6: Final answer
    x = 10,623.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.