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Finding the Fourth Proportional to 10,447.41, 15,671.01 and 8,380.38

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Solution

The fourth proportional to 10,447.41, 15,671.01 and 8,380.38 is: 12,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.41 : 15,671.01 = 8,380.38 : x
  2. Step 2: Convert to fraction form
    10,447.41/15,671.01 = 8,380.38/x
  3. Step 3: Cross multiply
    10,447.41x = 15,671.01 × 8,380.38
  4. Step 4: Simplify right side
    10,447.41x = 131,329,018.78
  5. Step 5: Solve for x
    x = 131,329,018.78/10,447.41
  6. Step 6: Final answer
    x = 12,570.49

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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.