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Finding the Fourth Proportional to 7,833.06, 11,752.38 and 3,450

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Solution

The fourth proportional to 7,833.06, 11,752.38 and 3,450 is: 5,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.06 : 11,752.38 = 3,450 : x
  2. Step 2: Convert to fraction form
    7,833.06/11,752.38 = 3,450/x
  3. Step 3: Cross multiply
    7,833.06x = 11,752.38 × 3,450
  4. Step 4: Simplify right side
    7,833.06x = 40,545,711
  5. Step 5: Solve for x
    x = 40,545,711/7,833.06
  6. Step 6: Final answer
    x = 5,176.23

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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.