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Finding the Fourth Proportional to 10,915.10, 16,409.10 and 9,311.30

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Solution

The fourth proportional to 10,915.10, 16,409.10 and 9,311.30 is: 13,998.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.10 : 16,409.10 = 9,311.30 : x
  2. Step 2: Convert to fraction form
    10,915.10/16,409.10 = 9,311.30/x
  3. Step 3: Cross multiply
    10,915.10x = 16,409.10 × 9,311.30
  4. Step 4: Simplify right side
    10,915.10x = 152,790,052.83
  5. Step 5: Solve for x
    x = 152,790,052.83/10,915.10
  6. Step 6: Final answer
    x = 13,998.04

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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.