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Finding the Fourth Proportional to 11,551.14, 17,362.82 and 7,627.60

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Solution

The fourth proportional to 11,551.14, 17,362.82 and 7,627.60 is: 11,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.14 : 17,362.82 = 7,627.60 : x
  2. Step 2: Convert to fraction form
    11,551.14/17,362.82 = 7,627.60/x
  3. Step 3: Cross multiply
    11,551.14x = 17,362.82 × 7,627.60
  4. Step 4: Simplify right side
    11,551.14x = 132,436,686.60
  5. Step 5: Solve for x
    x = 132,436,686.60/11,551.14
  6. Step 6: Final answer
    x = 11,465.25

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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.