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Finding the Fourth Proportional to 7,634.43, 11,432.21 and 5,029.47

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Solution

The fourth proportional to 7,634.43, 11,432.21 and 5,029.47 is: 7,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.43 : 11,432.21 = 5,029.47 : x
  2. Step 2: Convert to fraction form
    7,634.43/11,432.21 = 5,029.47/x
  3. Step 3: Cross multiply
    7,634.43x = 11,432.21 × 5,029.47
  4. Step 4: Simplify right side
    7,634.43x = 57,497,932.08
  5. Step 5: Solve for x
    x = 57,497,932.08/7,634.43
  6. Step 6: Final answer
    x = 7,531.40

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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.