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Finding the Fourth Proportional to 10,647.89, 14,693.15 and 6,170.21

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Solution

The fourth proportional to 10,647.89, 14,693.15 and 6,170.21 is: 8,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.89 : 14,693.15 = 6,170.21 : x
  2. Step 2: Convert to fraction form
    10,647.89/14,693.15 = 6,170.21/x
  3. Step 3: Cross multiply
    10,647.89x = 14,693.15 × 6,170.21
  4. Step 4: Simplify right side
    10,647.89x = 90,659,783.41
  5. Step 5: Solve for x
    x = 90,659,783.41/10,647.89
  6. Step 6: Final answer
    x = 8,514.34

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