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Finding the Fourth Proportional to 7,536.68, 11,308.10 and 2,609.78

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Solution

The fourth proportional to 7,536.68, 11,308.10 and 2,609.78 is: 3,915.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.68 : 11,308.10 = 2,609.78 : x
  2. Step 2: Convert to fraction form
    7,536.68/11,308.10 = 2,609.78/x
  3. Step 3: Cross multiply
    7,536.68x = 11,308.10 × 2,609.78
  4. Step 4: Simplify right side
    7,536.68x = 29,511,653.22
  5. Step 5: Solve for x
    x = 29,511,653.22/7,536.68
  6. Step 6: Final answer
    x = 3,915.74

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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.