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Finding the Fourth Proportional to 10,724.22, 14,805.99 and 8,495.10

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Solution

The fourth proportional to 10,724.22, 14,805.99 and 8,495.10 is: 11,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,724.22 : 14,805.99 = 8,495.10 : x
  2. Step 2: Convert to fraction form
    10,724.22/14,805.99 = 8,495.10/x
  3. Step 3: Cross multiply
    10,724.22x = 14,805.99 × 8,495.10
  4. Step 4: Simplify right side
    10,724.22x = 125,778,365.65
  5. Step 5: Solve for x
    x = 125,778,365.65/10,724.22
  6. Step 6: Final answer
    x = 11,728.44

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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.