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Finding the Fourth Proportional to 10,605.22, 14,621.43 and 6,821.62

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Solution

The fourth proportional to 10,605.22, 14,621.43 and 6,821.62 is: 9,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.22 : 14,621.43 = 6,821.62 : x
  2. Step 2: Convert to fraction form
    10,605.22/14,621.43 = 6,821.62/x
  3. Step 3: Cross multiply
    10,605.22x = 14,621.43 × 6,821.62
  4. Step 4: Simplify right side
    10,605.22x = 99,741,839.32
  5. Step 5: Solve for x
    x = 99,741,839.32/10,605.22
  6. Step 6: Final answer
    x = 9,404.98

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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.