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Finding the Fourth Proportional to 11,394.61, 15,725.66 and 6,917.33

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Solution

The fourth proportional to 11,394.61, 15,725.66 and 6,917.33 is: 9,546.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.61 : 15,725.66 = 6,917.33 : x
  2. Step 2: Convert to fraction form
    11,394.61/15,725.66 = 6,917.33/x
  3. Step 3: Cross multiply
    11,394.61x = 15,725.66 × 6,917.33
  4. Step 4: Simplify right side
    11,394.61x = 108,779,584.42
  5. Step 5: Solve for x
    x = 108,779,584.42/11,394.61
  6. Step 6: Final answer
    x = 9,546.58

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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.