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Finding the Fourth Proportional to 7,538.88, 11,302.20 and 6,511.08

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Solution

The fourth proportional to 7,538.88, 11,302.20 and 6,511.08 is: 9,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.88 : 11,302.20 = 6,511.08 : x
  2. Step 2: Convert to fraction form
    7,538.88/11,302.20 = 6,511.08/x
  3. Step 3: Cross multiply
    7,538.88x = 11,302.20 × 6,511.08
  4. Step 4: Simplify right side
    7,538.88x = 73,589,528.38
  5. Step 5: Solve for x
    x = 73,589,528.38/7,538.88
  6. Step 6: Final answer
    x = 9,761.33

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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.