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Finding the Fourth Proportional to 12,066.75, 16,636.58 and 7,810.27

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Solution

The fourth proportional to 12,066.75, 16,636.58 and 7,810.27 is: 10,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.75 : 16,636.58 = 7,810.27 : x
  2. Step 2: Convert to fraction form
    12,066.75/16,636.58 = 7,810.27/x
  3. Step 3: Cross multiply
    12,066.75x = 16,636.58 × 7,810.27
  4. Step 4: Simplify right side
    12,066.75x = 129,936,181.68
  5. Step 5: Solve for x
    x = 129,936,181.68/12,066.75
  6. Step 6: Final answer
    x = 10,768.12

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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.