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Finding the Fourth Proportional to 10,915.36, 16,376.32 and 8,452.96

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Solution

The fourth proportional to 10,915.36, 16,376.32 and 8,452.96 is: 12,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.36 : 16,376.32 = 8,452.96 : x
  2. Step 2: Convert to fraction form
    10,915.36/16,376.32 = 8,452.96/x
  3. Step 3: Cross multiply
    10,915.36x = 16,376.32 × 8,452.96
  4. Step 4: Simplify right side
    10,915.36x = 138,428,377.91
  5. Step 5: Solve for x
    x = 138,428,377.91/10,915.36
  6. Step 6: Final answer
    x = 12,681.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.