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Finding the Fourth Proportional to 11,657.76, 17,486.50 and 6,979.07

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Solution

The fourth proportional to 11,657.76, 17,486.50 and 6,979.07 is: 10,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.76 : 17,486.50 = 6,979.07 : x
  2. Step 2: Convert to fraction form
    11,657.76/17,486.50 = 6,979.07/x
  3. Step 3: Cross multiply
    11,657.76x = 17,486.50 × 6,979.07
  4. Step 4: Simplify right side
    11,657.76x = 122,039,507.56
  5. Step 5: Solve for x
    x = 122,039,507.56/11,657.76
  6. Step 6: Final answer
    x = 10,468.52

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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.