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Finding the Fourth Proportional to 11,668.32, 16,097.52 and 7,128.64

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Solution

The fourth proportional to 11,668.32, 16,097.52 and 7,128.64 is: 9,834.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.32 : 16,097.52 = 7,128.64 : x
  2. Step 2: Convert to fraction form
    11,668.32/16,097.52 = 7,128.64/x
  3. Step 3: Cross multiply
    11,668.32x = 16,097.52 × 7,128.64
  4. Step 4: Simplify right side
    11,668.32x = 114,753,424.97
  5. Step 5: Solve for x
    x = 114,753,424.97/11,668.32
  6. Step 6: Final answer
    x = 9,834.61

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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.