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Finding the Fourth Proportional to 7,863.63, 10,852.33 and 4,327.07

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Solution

The fourth proportional to 7,863.63, 10,852.33 and 4,327.07 is: 5,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.63 : 10,852.33 = 4,327.07 : x
  2. Step 2: Convert to fraction form
    7,863.63/10,852.33 = 4,327.07/x
  3. Step 3: Cross multiply
    7,863.63x = 10,852.33 × 4,327.07
  4. Step 4: Simplify right side
    7,863.63x = 46,958,795.65
  5. Step 5: Solve for x
    x = 46,958,795.65/7,863.63
  6. Step 6: Final answer
    x = 5,971.64

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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.