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Finding the Fourth Proportional to 11,261.46, 15,524.33 and 7,894.11

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Solution

The fourth proportional to 11,261.46, 15,524.33 and 7,894.11 is: 10,882.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.46 : 15,524.33 = 7,894.11 : x
  2. Step 2: Convert to fraction form
    11,261.46/15,524.33 = 7,894.11/x
  3. Step 3: Cross multiply
    11,261.46x = 15,524.33 × 7,894.11
  4. Step 4: Simplify right side
    11,261.46x = 122,550,768.70
  5. Step 5: Solve for x
    x = 122,550,768.70/11,261.46
  6. Step 6: Final answer
    x = 10,882.32

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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.