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Finding the Fourth Proportional to 11,886.72, 16,398.40 and 6,915.84

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Solution

The fourth proportional to 11,886.72, 16,398.40 and 6,915.84 is: 9,540.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.72 : 16,398.40 = 6,915.84 : x
  2. Step 2: Convert to fraction form
    11,886.72/16,398.40 = 6,915.84/x
  3. Step 3: Cross multiply
    11,886.72x = 16,398.40 × 6,915.84
  4. Step 4: Simplify right side
    11,886.72x = 113,408,710.66
  5. Step 5: Solve for x
    x = 113,408,710.66/11,886.72
  6. Step 6: Final answer
    x = 9,540.79

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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.