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Finding the Fourth Proportional to 8,324.67, 11,466.51 and 5,802.28

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Solution

The fourth proportional to 8,324.67, 11,466.51 and 5,802.28 is: 7,992.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.67 : 11,466.51 = 5,802.28 : x
  2. Step 2: Convert to fraction form
    8,324.67/11,466.51 = 5,802.28/x
  3. Step 3: Cross multiply
    8,324.67x = 11,466.51 × 5,802.28
  4. Step 4: Simplify right side
    8,324.67x = 66,531,948.35
  5. Step 5: Solve for x
    x = 66,531,948.35/8,324.67
  6. Step 6: Final answer
    x = 7,992.14

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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.