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Finding the Fourth Proportional to 7,446.96, 10,276.94 and 4,090.09

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Solution

The fourth proportional to 7,446.96, 10,276.94 and 4,090.09 is: 5,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.96 : 10,276.94 = 4,090.09 : x
  2. Step 2: Convert to fraction form
    7,446.96/10,276.94 = 4,090.09/x
  3. Step 3: Cross multiply
    7,446.96x = 10,276.94 × 4,090.09
  4. Step 4: Simplify right side
    7,446.96x = 42,033,609.52
  5. Step 5: Solve for x
    x = 42,033,609.52/7,446.96
  6. Step 6: Final answer
    x = 5,644.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.