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Finding the Fourth Proportional to 11,505.62, 17,258.82 and 3,184.95

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Solution

The fourth proportional to 11,505.62, 17,258.82 and 3,184.95 is: 4,777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.62 : 17,258.82 = 3,184.95 : x
  2. Step 2: Convert to fraction form
    11,505.62/17,258.82 = 3,184.95/x
  3. Step 3: Cross multiply
    11,505.62x = 17,258.82 × 3,184.95
  4. Step 4: Simplify right side
    11,505.62x = 54,968,478.76
  5. Step 5: Solve for x
    x = 54,968,478.76/11,505.62
  6. Step 6: Final answer
    x = 4,777.53

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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.