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Finding the Fourth Proportional to 11,030.54, 15,221.84 and 5,994.60

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Solution

The fourth proportional to 11,030.54, 15,221.84 and 5,994.60 is: 8,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,030.54 : 15,221.84 = 5,994.60 : x
  2. Step 2: Convert to fraction form
    11,030.54/15,221.84 = 5,994.60/x
  3. Step 3: Cross multiply
    11,030.54x = 15,221.84 × 5,994.60
  4. Step 4: Simplify right side
    11,030.54x = 91,248,842.06
  5. Step 5: Solve for x
    x = 91,248,842.06/11,030.54
  6. Step 6: Final answer
    x = 8,272.38

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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.