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Finding the Fourth Proportional to 10,028.41, 13,843.81 and 7,159.39

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Solution

The fourth proportional to 10,028.41, 13,843.81 and 7,159.39 is: 9,883.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.41 : 13,843.81 = 7,159.39 : x
  2. Step 2: Convert to fraction form
    10,028.41/13,843.81 = 7,159.39/x
  3. Step 3: Cross multiply
    10,028.41x = 13,843.81 × 7,159.39
  4. Step 4: Simplify right side
    10,028.41x = 99,113,209.22
  5. Step 5: Solve for x
    x = 99,113,209.22/10,028.41
  6. Step 6: Final answer
    x = 9,883.25

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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.