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Finding the Fourth Proportional to 7,797.09, 11,689.01 and 3,411.27

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Solution

The fourth proportional to 7,797.09, 11,689.01 and 3,411.27 is: 5,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.09 : 11,689.01 = 3,411.27 : x
  2. Step 2: Convert to fraction form
    7,797.09/11,689.01 = 3,411.27/x
  3. Step 3: Cross multiply
    7,797.09x = 11,689.01 × 3,411.27
  4. Step 4: Simplify right side
    7,797.09x = 39,874,352.09
  5. Step 5: Solve for x
    x = 39,874,352.09/7,797.09
  6. Step 6: Final answer
    x = 5,114.00

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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.