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Finding the Fourth Proportional to 11,019.33, 15,208.07 and 6,828.21

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Solution

The fourth proportional to 11,019.33, 15,208.07 and 6,828.21 is: 9,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,019.33 : 15,208.07 = 6,828.21 : x
  2. Step 2: Convert to fraction form
    11,019.33/15,208.07 = 6,828.21/x
  3. Step 3: Cross multiply
    11,019.33x = 15,208.07 × 6,828.21
  4. Step 4: Simplify right side
    11,019.33x = 103,843,861.51
  5. Step 5: Solve for x
    x = 103,843,861.51/11,019.33
  6. Step 6: Final answer
    x = 9,423.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.