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Finding the Fourth Proportional to 7,538.70, 11,309.85 and 3,153.72

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Solution

The fourth proportional to 7,538.70, 11,309.85 and 3,153.72 is: 4,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.70 : 11,309.85 = 3,153.72 : x
  2. Step 2: Convert to fraction form
    7,538.70/11,309.85 = 3,153.72/x
  3. Step 3: Cross multiply
    7,538.70x = 11,309.85 × 3,153.72
  4. Step 4: Simplify right side
    7,538.70x = 35,668,100.14
  5. Step 5: Solve for x
    x = 35,668,100.14/7,538.70
  6. Step 6: Final answer
    x = 4,731.33

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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.