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Finding the Fourth Proportional to 7,911.85, 11,857.39 and 5,822.07

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Solution

The fourth proportional to 7,911.85, 11,857.39 and 5,822.07 is: 8,725.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.85 : 11,857.39 = 5,822.07 : x
  2. Step 2: Convert to fraction form
    7,911.85/11,857.39 = 5,822.07/x
  3. Step 3: Cross multiply
    7,911.85x = 11,857.39 × 5,822.07
  4. Step 4: Simplify right side
    7,911.85x = 69,034,569.15
  5. Step 5: Solve for x
    x = 69,034,569.15/7,911.85
  6. Step 6: Final answer
    x = 8,725.46

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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.