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Finding the Fourth Proportional to 11,668.35, 17,458.79 and 6,477.87

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Solution

The fourth proportional to 11,668.35, 17,458.79 and 6,477.87 is: 9,692.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.35 : 17,458.79 = 6,477.87 : x
  2. Step 2: Convert to fraction form
    11,668.35/17,458.79 = 6,477.87/x
  3. Step 3: Cross multiply
    11,668.35x = 17,458.79 × 6,477.87
  4. Step 4: Simplify right side
    11,668.35x = 113,095,739.59
  5. Step 5: Solve for x
    x = 113,095,739.59/11,668.35
  6. Step 6: Final answer
    x = 9,692.52

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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.