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Finding the Fourth Proportional to 8,235.25, 11,364.78 and 4,700.41

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Solution

The fourth proportional to 8,235.25, 11,364.78 and 4,700.41 is: 6,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.25 : 11,364.78 = 4,700.41 : x
  2. Step 2: Convert to fraction form
    8,235.25/11,364.78 = 4,700.41/x
  3. Step 3: Cross multiply
    8,235.25x = 11,364.78 × 4,700.41
  4. Step 4: Simplify right side
    8,235.25x = 53,419,125.56
  5. Step 5: Solve for x
    x = 53,419,125.56/8,235.25
  6. Step 6: Final answer
    x = 6,486.64

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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.