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Finding the Fourth Proportional to 11,394.14, 15,725.27 and 6,678.42

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Solution

The fourth proportional to 11,394.14, 15,725.27 and 6,678.42 is: 9,217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.14 : 15,725.27 = 6,678.42 : x
  2. Step 2: Convert to fraction form
    11,394.14/15,725.27 = 6,678.42/x
  3. Step 3: Cross multiply
    11,394.14x = 15,725.27 × 6,678.42
  4. Step 4: Simplify right side
    11,394.14x = 105,019,924.28
  5. Step 5: Solve for x
    x = 105,019,924.28/11,394.14
  6. Step 6: Final answer
    x = 9,217.02

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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.