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Finding the Fourth Proportional to 8,732.40, 13,104 and 3,538.32

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Solution

The fourth proportional to 8,732.40, 13,104 and 3,538.32 is: 5,309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.40 : 13,104 = 3,538.32 : x
  2. Step 2: Convert to fraction form
    8,732.40/13,104 = 3,538.32/x
  3. Step 3: Cross multiply
    8,732.40x = 13,104 × 3,538.32
  4. Step 4: Simplify right side
    8,732.40x = 46,366,145.28
  5. Step 5: Solve for x
    x = 46,366,145.28/8,732.40
  6. Step 6: Final answer
    x = 5,309.67

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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.