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Finding the Fourth Proportional to 7,536.65, 11,302.84 and 2,270.24

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Solution

The fourth proportional to 7,536.65, 11,302.84 and 2,270.24 is: 3,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,536.65 : 11,302.84 = 2,270.24 : x
  2. Step 2: Convert to fraction form
    7,536.65/11,302.84 = 2,270.24/x
  3. Step 3: Cross multiply
    7,536.65x = 11,302.84 × 2,270.24
  4. Step 4: Simplify right side
    7,536.65x = 25,660,097.29
  5. Step 5: Solve for x
    x = 25,660,097.29/7,536.65
  6. Step 6: Final answer
    x = 3,404.71

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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.