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Finding the Fourth Proportional to 7,651.52, 11,476.24 and 2,719.84

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Solution

The fourth proportional to 7,651.52, 11,476.24 and 2,719.84 is: 4,079.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.52 : 11,476.24 = 2,719.84 : x
  2. Step 2: Convert to fraction form
    7,651.52/11,476.24 = 2,719.84/x
  3. Step 3: Cross multiply
    7,651.52x = 11,476.24 × 2,719.84
  4. Step 4: Simplify right side
    7,651.52x = 31,213,536.60
  5. Step 5: Solve for x
    x = 31,213,536.60/7,651.52
  6. Step 6: Final answer
    x = 4,079.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.