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Finding the Fourth Proportional to 7,732.04, 11,589.08 and 3,563.30

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Solution

The fourth proportional to 7,732.04, 11,589.08 and 3,563.30 is: 5,340.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.04 : 11,589.08 = 3,563.30 : x
  2. Step 2: Convert to fraction form
    7,732.04/11,589.08 = 3,563.30/x
  3. Step 3: Cross multiply
    7,732.04x = 11,589.08 × 3,563.30
  4. Step 4: Simplify right side
    7,732.04x = 41,295,368.76
  5. Step 5: Solve for x
    x = 41,295,368.76/7,732.04
  6. Step 6: Final answer
    x = 5,340.81

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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.