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Finding the Fourth Proportional to 12,616.44, 17,409.86 and 7,580.88

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Solution

The fourth proportional to 12,616.44, 17,409.86 and 7,580.88 is: 10,461.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.44 : 17,409.86 = 7,580.88 : x
  2. Step 2: Convert to fraction form
    12,616.44/17,409.86 = 7,580.88/x
  3. Step 3: Cross multiply
    12,616.44x = 17,409.86 × 7,580.88
  4. Step 4: Simplify right side
    12,616.44x = 131,981,934.52
  5. Step 5: Solve for x
    x = 131,981,934.52/12,616.44
  6. Step 6: Final answer
    x = 10,461.11

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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.