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Finding the Fourth Proportional to 10,996.98, 15,176 and 6,281.28

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Solution

The fourth proportional to 10,996.98, 15,176 and 6,281.28 is: 8,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996.98 : 15,176 = 6,281.28 : x
  2. Step 2: Convert to fraction form
    10,996.98/15,176 = 6,281.28/x
  3. Step 3: Cross multiply
    10,996.98x = 15,176 × 6,281.28
  4. Step 4: Simplify right side
    10,996.98x = 95,324,705.28
  5. Step 5: Solve for x
    x = 95,324,705.28/10,996.98
  6. Step 6: Final answer
    x = 8,668.26

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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.