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Finding the Fourth Proportional to 11,552.14, 17,364.33 and 7,628.60

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Solution

The fourth proportional to 11,552.14, 17,364.33 and 7,628.60 is: 11,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.14 : 17,364.33 = 7,628.60 : x
  2. Step 2: Convert to fraction form
    11,552.14/17,364.33 = 7,628.60/x
  3. Step 3: Cross multiply
    11,552.14x = 17,364.33 × 7,628.60
  4. Step 4: Simplify right side
    11,552.14x = 132,465,527.84
  5. Step 5: Solve for x
    x = 132,465,527.84/11,552.14
  6. Step 6: Final answer
    x = 11,466.75

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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.