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Finding the Fourth Proportional to 11,847.53, 17,774.59 and 5,182.84

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Solution

The fourth proportional to 11,847.53, 17,774.59 and 5,182.84 is: 7,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.53 : 17,774.59 = 5,182.84 : x
  2. Step 2: Convert to fraction form
    11,847.53/17,774.59 = 5,182.84/x
  3. Step 3: Cross multiply
    11,847.53x = 17,774.59 × 5,182.84
  4. Step 4: Simplify right side
    11,847.53x = 92,122,775.03
  5. Step 5: Solve for x
    x = 92,122,775.03/11,847.53
  6. Step 6: Final answer
    x = 7,775.69

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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.