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Finding the Fourth Proportional to 11,289.49, 15,582.11 and 7,512.82

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Solution

The fourth proportional to 11,289.49, 15,582.11 and 7,512.82 is: 10,369.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.49 : 15,582.11 = 7,512.82 : x
  2. Step 2: Convert to fraction form
    11,289.49/15,582.11 = 7,512.82/x
  3. Step 3: Cross multiply
    11,289.49x = 15,582.11 × 7,512.82
  4. Step 4: Simplify right side
    11,289.49x = 117,065,511.13
  5. Step 5: Solve for x
    x = 117,065,511.13/11,289.49
  6. Step 6: Final answer
    x = 10,369.43

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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.