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Finding the Fourth Proportional to 11,668.44, 17,498.88 and 3,875.16

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Solution

The fourth proportional to 11,668.44, 17,498.88 and 3,875.16 is: 5,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.44 : 17,498.88 = 3,875.16 : x
  2. Step 2: Convert to fraction form
    11,668.44/17,498.88 = 3,875.16/x
  3. Step 3: Cross multiply
    11,668.44x = 17,498.88 × 3,875.16
  4. Step 4: Simplify right side
    11,668.44x = 67,810,959.82
  5. Step 5: Solve for x
    x = 67,810,959.82/11,668.44
  6. Step 6: Final answer
    x = 5,811.48

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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.