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Finding the Fourth Proportional to 8,219.68, 11,364.78 and 7,852.48

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Solution

The fourth proportional to 8,219.68, 11,364.78 and 7,852.48 is: 10,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.68 : 11,364.78 = 7,852.48 : x
  2. Step 2: Convert to fraction form
    8,219.68/11,364.78 = 7,852.48/x
  3. Step 3: Cross multiply
    8,219.68x = 11,364.78 × 7,852.48
  4. Step 4: Simplify right side
    8,219.68x = 89,241,707.65
  5. Step 5: Solve for x
    x = 89,241,707.65/8,219.68
  6. Step 6: Final answer
    x = 10,857.08

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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.