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Finding the Fourth Proportional to 7,446.97, 10,276.86 and 4,090.06

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Solution

The fourth proportional to 7,446.97, 10,276.86 and 4,090.06 is: 5,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.97 : 10,276.86 = 4,090.06 : x
  2. Step 2: Convert to fraction form
    7,446.97/10,276.86 = 4,090.06/x
  3. Step 3: Cross multiply
    7,446.97x = 10,276.86 × 4,090.06
  4. Step 4: Simplify right side
    7,446.97x = 42,032,974.01
  5. Step 5: Solve for x
    x = 42,032,974.01/7,446.97
  6. Step 6: Final answer
    x = 5,644.31

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