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Finding the Fourth Proportional to 8,454.15, 11,670.03 and 7,568.43

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Solution

The fourth proportional to 8,454.15, 11,670.03 and 7,568.43 is: 10,447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.15 : 11,670.03 = 7,568.43 : x
  2. Step 2: Convert to fraction form
    8,454.15/11,670.03 = 7,568.43/x
  3. Step 3: Cross multiply
    8,454.15x = 11,670.03 × 7,568.43
  4. Step 4: Simplify right side
    8,454.15x = 88,323,805.15
  5. Step 5: Solve for x
    x = 88,323,805.15/8,454.15
  6. Step 6: Final answer
    x = 10,447.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.