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Finding the Fourth Proportional to 11,138.40, 15,366.24 and 7,365.60

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Solution

The fourth proportional to 11,138.40, 15,366.24 and 7,365.60 is: 10,161.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.40 : 15,366.24 = 7,365.60 : x
  2. Step 2: Convert to fraction form
    11,138.40/15,366.24 = 7,365.60/x
  3. Step 3: Cross multiply
    11,138.40x = 15,366.24 × 7,365.60
  4. Step 4: Simplify right side
    11,138.40x = 113,181,577.34
  5. Step 5: Solve for x
    x = 113,181,577.34/11,138.40
  6. Step 6: Final answer
    x = 10,161.39

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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.