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Finding the Fourth Proportional to 12,384.56, 17,093.68 and 7,666

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Solution

The fourth proportional to 12,384.56, 17,093.68 and 7,666 is: 10,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.56 : 17,093.68 = 7,666 : x
  2. Step 2: Convert to fraction form
    12,384.56/17,093.68 = 7,666/x
  3. Step 3: Cross multiply
    12,384.56x = 17,093.68 × 7,666
  4. Step 4: Simplify right side
    12,384.56x = 131,040,150.88
  5. Step 5: Solve for x
    x = 131,040,150.88/12,384.56
  6. Step 6: Final answer
    x = 10,580.93

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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.