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Finding the Fourth Proportional to 7,096.10, 9,792.19 and 4,111.42

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Solution

The fourth proportional to 7,096.10, 9,792.19 and 4,111.42 is: 5,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.10 : 9,792.19 = 4,111.42 : x
  2. Step 2: Convert to fraction form
    7,096.10/9,792.19 = 4,111.42/x
  3. Step 3: Cross multiply
    7,096.10x = 9,792.19 × 4,111.42
  4. Step 4: Simplify right side
    7,096.10x = 40,259,805.81
  5. Step 5: Solve for x
    x = 40,259,805.81/7,096.10
  6. Step 6: Final answer
    x = 5,673.51

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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.