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Finding the Fourth Proportional to 11,028, 15,219.36 and 6,839.04

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Solution

The fourth proportional to 11,028, 15,219.36 and 6,839.04 is: 9,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,028 : 15,219.36 = 6,839.04 : x
  2. Step 2: Convert to fraction form
    11,028/15,219.36 = 6,839.04/x
  3. Step 3: Cross multiply
    11,028x = 15,219.36 × 6,839.04
  4. Step 4: Simplify right side
    11,028x = 104,085,811.81
  5. Step 5: Solve for x
    x = 104,085,811.81/11,028
  6. Step 6: Final answer
    x = 9,438.32

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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.