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Finding the Fourth Proportional to 10,046.94, 13,866.54 and 5,797.26

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Solution

The fourth proportional to 10,046.94, 13,866.54 and 5,797.26 is: 8,001.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.94 : 13,866.54 = 5,797.26 : x
  2. Step 2: Convert to fraction form
    10,046.94/13,866.54 = 5,797.26/x
  3. Step 3: Cross multiply
    10,046.94x = 13,866.54 × 5,797.26
  4. Step 4: Simplify right side
    10,046.94x = 80,387,937.68
  5. Step 5: Solve for x
    x = 80,387,937.68/10,046.94
  6. Step 6: Final answer
    x = 8,001.24

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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.