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Finding the Fourth Proportional to 11,079.99, 15,282.34 and 6,825.40

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Solution

The fourth proportional to 11,079.99, 15,282.34 and 6,825.40 is: 9,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,079.99 : 15,282.34 = 6,825.40 : x
  2. Step 2: Convert to fraction form
    11,079.99/15,282.34 = 6,825.40/x
  3. Step 3: Cross multiply
    11,079.99x = 15,282.34 × 6,825.40
  4. Step 4: Simplify right side
    11,079.99x = 104,308,028.17
  5. Step 5: Solve for x
    x = 104,308,028.17/11,079.99
  6. Step 6: Final answer
    x = 9,414.09

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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.