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Finding the Fourth Proportional to 11,873.41, 16,388.54 and 7,394.51

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Solution

The fourth proportional to 11,873.41, 16,388.54 and 7,394.51 is: 10,206.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.41 : 16,388.54 = 7,394.51 : x
  2. Step 2: Convert to fraction form
    11,873.41/16,388.54 = 7,394.51/x
  3. Step 3: Cross multiply
    11,873.41x = 16,388.54 × 7,394.51
  4. Step 4: Simplify right side
    11,873.41x = 121,185,282.37
  5. Step 5: Solve for x
    x = 121,185,282.37/11,873.41
  6. Step 6: Final answer
    x = 10,206.45

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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.