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Finding the Fourth Proportional to 11,698.77, 16,133.14 and 7,659.57

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Solution

The fourth proportional to 11,698.77, 16,133.14 and 7,659.57 is: 10,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698.77 : 16,133.14 = 7,659.57 : x
  2. Step 2: Convert to fraction form
    11,698.77/16,133.14 = 7,659.57/x
  3. Step 3: Cross multiply
    11,698.77x = 16,133.14 × 7,659.57
  4. Step 4: Simplify right side
    11,698.77x = 123,572,896.00
  5. Step 5: Solve for x
    x = 123,572,896.00/11,698.77
  6. Step 6: Final answer
    x = 10,562.90

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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.