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Finding the Fourth Proportional to 11,151.56, 16,731 and 4,580.84

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Solution

The fourth proportional to 11,151.56, 16,731 and 4,580.84 is: 6,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.56 : 16,731 = 4,580.84 : x
  2. Step 2: Convert to fraction form
    11,151.56/16,731 = 4,580.84/x
  3. Step 3: Cross multiply
    11,151.56x = 16,731 × 4,580.84
  4. Step 4: Simplify right side
    11,151.56x = 76,642,034.04
  5. Step 5: Solve for x
    x = 76,642,034.04/11,151.56
  6. Step 6: Final answer
    x = 6,872.76

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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.