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Finding the Fourth Proportional to 11,718.60, 17,550 and 6,777.84

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Solution

The fourth proportional to 11,718.60, 17,550 and 6,777.84 is: 10,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.60 : 17,550 = 6,777.84 : x
  2. Step 2: Convert to fraction form
    11,718.60/17,550 = 6,777.84/x
  3. Step 3: Cross multiply
    11,718.60x = 17,550 × 6,777.84
  4. Step 4: Simplify right side
    11,718.60x = 118,951,092
  5. Step 5: Solve for x
    x = 118,951,092/11,718.60
  6. Step 6: Final answer
    x = 10,150.62

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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.