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Finding the Fourth Proportional to 7,534.83, 11,302.15 and 3,636.48

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Solution

The fourth proportional to 7,534.83, 11,302.15 and 3,636.48 is: 5,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.83 : 11,302.15 = 3,636.48 : x
  2. Step 2: Convert to fraction form
    7,534.83/11,302.15 = 3,636.48/x
  3. Step 3: Cross multiply
    7,534.83x = 11,302.15 × 3,636.48
  4. Step 4: Simplify right side
    7,534.83x = 41,100,042.43
  5. Step 5: Solve for x
    x = 41,100,042.43/7,534.83
  6. Step 6: Final answer
    x = 5,454.67

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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.