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Finding the Fourth Proportional to 8,535.75, 11,774.55 and 4,998.27

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Solution

The fourth proportional to 8,535.75, 11,774.55 and 4,998.27 is: 6,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.75 : 11,774.55 = 4,998.27 : x
  2. Step 2: Convert to fraction form
    8,535.75/11,774.55 = 4,998.27/x
  3. Step 3: Cross multiply
    8,535.75x = 11,774.55 × 4,998.27
  4. Step 4: Simplify right side
    8,535.75x = 58,852,380.03
  5. Step 5: Solve for x
    x = 58,852,380.03/8,535.75
  6. Step 6: Final answer
    x = 6,894.81

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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.