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Finding the Fourth Proportional to 7,201, 10,804.76 and 4,123

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Solution

The fourth proportional to 7,201, 10,804.76 and 4,123 is: 6,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201 : 10,804.76 = 4,123 : x
  2. Step 2: Convert to fraction form
    7,201/10,804.76 = 4,123/x
  3. Step 3: Cross multiply
    7,201x = 10,804.76 × 4,123
  4. Step 4: Simplify right side
    7,201x = 44,548,025.48
  5. Step 5: Solve for x
    x = 44,548,025.48/7,201
  6. Step 6: Final answer
    x = 6,186.37

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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.