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Finding the Fourth Proportional to 11,915.82, 16,444.17 and 6,538.50

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Solution

The fourth proportional to 11,915.82, 16,444.17 and 6,538.50 is: 9,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,915.82 : 16,444.17 = 6,538.50 : x
  2. Step 2: Convert to fraction form
    11,915.82/16,444.17 = 6,538.50/x
  3. Step 3: Cross multiply
    11,915.82x = 16,444.17 × 6,538.50
  4. Step 4: Simplify right side
    11,915.82x = 107,520,205.55
  5. Step 5: Solve for x
    x = 107,520,205.55/11,915.82
  6. Step 6: Final answer
    x = 9,023.32

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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.