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Finding the Fourth Proportional to 7,096.33, 9,792.51 and 4,111.65

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Solution

The fourth proportional to 7,096.33, 9,792.51 and 4,111.65 is: 5,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.33 : 9,792.51 = 4,111.65 : x
  2. Step 2: Convert to fraction form
    7,096.33/9,792.51 = 4,111.65/x
  3. Step 3: Cross multiply
    7,096.33x = 9,792.51 × 4,111.65
  4. Step 4: Simplify right side
    7,096.33x = 40,263,373.74
  5. Step 5: Solve for x
    x = 40,263,373.74/7,096.33
  6. Step 6: Final answer
    x = 5,673.83

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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.