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Finding the Fourth Proportional to 7,852.25, 11,783.78 and 3,235.25

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Solution

The fourth proportional to 7,852.25, 11,783.78 and 3,235.25 is: 4,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.25 : 11,783.78 = 3,235.25 : x
  2. Step 2: Convert to fraction form
    7,852.25/11,783.78 = 3,235.25/x
  3. Step 3: Cross multiply
    7,852.25x = 11,783.78 × 3,235.25
  4. Step 4: Simplify right side
    7,852.25x = 38,123,474.25
  5. Step 5: Solve for x
    x = 38,123,474.25/7,852.25
  6. Step 6: Final answer
    x = 4,855.10

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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.