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Finding the Fourth Proportional to 7,243.76, 10,857.63 and 4,741.94

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Solution

The fourth proportional to 7,243.76, 10,857.63 and 4,741.94 is: 7,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.76 : 10,857.63 = 4,741.94 : x
  2. Step 2: Convert to fraction form
    7,243.76/10,857.63 = 4,741.94/x
  3. Step 3: Cross multiply
    7,243.76x = 10,857.63 × 4,741.94
  4. Step 4: Simplify right side
    7,243.76x = 51,486,230.00
  5. Step 5: Solve for x
    x = 51,486,230.00/7,243.76
  6. Step 6: Final answer
    x = 7,107.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.