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Finding the Fourth Proportional to 10,504.66, 14,491.34 and 6,724.80

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Solution

The fourth proportional to 10,504.66, 14,491.34 and 6,724.80 is: 9,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.66 : 14,491.34 = 6,724.80 : x
  2. Step 2: Convert to fraction form
    10,504.66/14,491.34 = 6,724.80/x
  3. Step 3: Cross multiply
    10,504.66x = 14,491.34 × 6,724.80
  4. Step 4: Simplify right side
    10,504.66x = 97,451,363.23
  5. Step 5: Solve for x
    x = 97,451,363.23/10,504.66
  6. Step 6: Final answer
    x = 9,276.97

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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.