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Finding the Fourth Proportional to 11,850.35, 16,352.81 and 7,075.68

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Solution

The fourth proportional to 11,850.35, 16,352.81 and 7,075.68 is: 9,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.35 : 16,352.81 = 7,075.68 : x
  2. Step 2: Convert to fraction form
    11,850.35/16,352.81 = 7,075.68/x
  3. Step 3: Cross multiply
    11,850.35x = 16,352.81 × 7,075.68
  4. Step 4: Simplify right side
    11,850.35x = 115,707,316.41
  5. Step 5: Solve for x
    x = 115,707,316.41/11,850.35
  6. Step 6: Final answer
    x = 9,764.04

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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.