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Finding the Fourth Proportional to 7,446.24, 11,169 and 4,518.36

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Solution

The fourth proportional to 7,446.24, 11,169 and 4,518.36 is: 6,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.24 : 11,169 = 4,518.36 : x
  2. Step 2: Convert to fraction form
    7,446.24/11,169 = 4,518.36/x
  3. Step 3: Cross multiply
    7,446.24x = 11,169 × 4,518.36
  4. Step 4: Simplify right side
    7,446.24x = 50,465,562.84
  5. Step 5: Solve for x
    x = 50,465,562.84/7,446.24
  6. Step 6: Final answer
    x = 6,777.32

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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.