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Finding the Fourth Proportional to 10,858.65, 16,271.57 and 8,072.25

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Solution

The fourth proportional to 10,858.65, 16,271.57 and 8,072.25 is: 12,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,858.65 : 16,271.57 = 8,072.25 : x
  2. Step 2: Convert to fraction form
    10,858.65/16,271.57 = 8,072.25/x
  3. Step 3: Cross multiply
    10,858.65x = 16,271.57 × 8,072.25
  4. Step 4: Simplify right side
    10,858.65x = 131,348,059.21
  5. Step 5: Solve for x
    x = 131,348,059.21/10,858.65
  6. Step 6: Final answer
    x = 12,096.17

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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.