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Finding the Fourth Proportional to 7,852.24, 11,771.88 and 3,232

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Solution

The fourth proportional to 7,852.24, 11,771.88 and 3,232 is: 4,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.24 : 11,771.88 = 3,232 : x
  2. Step 2: Convert to fraction form
    7,852.24/11,771.88 = 3,232/x
  3. Step 3: Cross multiply
    7,852.24x = 11,771.88 × 3,232
  4. Step 4: Simplify right side
    7,852.24x = 38,046,716.16
  5. Step 5: Solve for x
    x = 38,046,716.16/7,852.24
  6. Step 6: Final answer
    x = 4,845.33

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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.