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Finding the Fourth Proportional to 11,613.62, 17,409.68 and 4,216.28

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Solution

The fourth proportional to 11,613.62, 17,409.68 and 4,216.28 is: 6,320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,613.62 : 17,409.68 = 4,216.28 : x
  2. Step 2: Convert to fraction form
    11,613.62/17,409.68 = 4,216.28/x
  3. Step 3: Cross multiply
    11,613.62x = 17,409.68 × 4,216.28
  4. Step 4: Simplify right side
    11,613.62x = 73,404,085.59
  5. Step 5: Solve for x
    x = 73,404,085.59/11,613.62
  6. Step 6: Final answer
    x = 6,320.52

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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.