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Finding the Fourth Proportional to 11,538.08, 17,308.80 and 4,516.80

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Solution

The fourth proportional to 11,538.08, 17,308.80 and 4,516.80 is: 6,775.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,538.08 : 17,308.80 = 4,516.80 : x
  2. Step 2: Convert to fraction form
    11,538.08/17,308.80 = 4,516.80/x
  3. Step 3: Cross multiply
    11,538.08x = 17,308.80 × 4,516.80
  4. Step 4: Simplify right side
    11,538.08x = 78,180,387.84
  5. Step 5: Solve for x
    x = 78,180,387.84/11,538.08
  6. Step 6: Final answer
    x = 6,775.86

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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.