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Finding the Fourth Proportional to 11,456.69, 15,811.33 and 6,980.86

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Solution

The fourth proportional to 11,456.69, 15,811.33 and 6,980.86 is: 9,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456.69 : 15,811.33 = 6,980.86 : x
  2. Step 2: Convert to fraction form
    11,456.69/15,811.33 = 6,980.86/x
  3. Step 3: Cross multiply
    11,456.69x = 15,811.33 × 6,980.86
  4. Step 4: Simplify right side
    11,456.69x = 110,376,632.44
  5. Step 5: Solve for x
    x = 110,376,632.44/11,456.69
  6. Step 6: Final answer
    x = 9,634.25

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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.