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Finding the Fourth Proportional to 10,605.33, 14,636.97 and 7,631.01

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Solution

The fourth proportional to 10,605.33, 14,636.97 and 7,631.01 is: 10,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.33 : 14,636.97 = 7,631.01 : x
  2. Step 2: Convert to fraction form
    10,605.33/14,636.97 = 7,631.01/x
  3. Step 3: Cross multiply
    10,605.33x = 14,636.97 × 7,631.01
  4. Step 4: Simplify right side
    10,605.33x = 111,694,864.44
  5. Step 5: Solve for x
    x = 111,694,864.44/10,605.33
  6. Step 6: Final answer
    x = 10,531.96

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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.