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Finding the Fourth Proportional to 7,605.25, 11,411.89 and 5,398.33

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Solution

The fourth proportional to 7,605.25, 11,411.89 and 5,398.33 is: 8,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605.25 : 11,411.89 = 5,398.33 : x
  2. Step 2: Convert to fraction form
    7,605.25/11,411.89 = 5,398.33/x
  3. Step 3: Cross multiply
    7,605.25x = 11,411.89 × 5,398.33
  4. Step 4: Simplify right side
    7,605.25x = 61,605,148.14
  5. Step 5: Solve for x
    x = 61,605,148.14/7,605.25
  6. Step 6: Final answer
    x = 8,100.34

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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.