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Finding the Fourth Proportional to 13,083, 18,054.54 and 7,494.36

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Solution

The fourth proportional to 13,083, 18,054.54 and 7,494.36 is: 10,342.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083 : 18,054.54 = 7,494.36 : x
  2. Step 2: Convert to fraction form
    13,083/18,054.54 = 7,494.36/x
  3. Step 3: Cross multiply
    13,083x = 18,054.54 × 7,494.36
  4. Step 4: Simplify right side
    13,083x = 135,307,222.39
  5. Step 5: Solve for x
    x = 135,307,222.39/13,083
  6. Step 6: Final answer
    x = 10,342.22

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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.