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Finding the Fourth Proportional to 6,610.63, 9,896.47 and 5,790.51

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Solution

The fourth proportional to 6,610.63, 9,896.47 and 5,790.51 is: 8,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,610.63 : 9,896.47 = 5,790.51 : x
  2. Step 2: Convert to fraction form
    6,610.63/9,896.47 = 5,790.51/x
  3. Step 3: Cross multiply
    6,610.63x = 9,896.47 × 5,790.51
  4. Step 4: Simplify right side
    6,610.63x = 57,305,530.06
  5. Step 5: Solve for x
    x = 57,305,530.06/6,610.63
  6. Step 6: Final answer
    x = 8,668.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.