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Finding the Fourth Proportional to 11,642.84, 17,463.94 and 2,877.56

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Solution

The fourth proportional to 11,642.84, 17,463.94 and 2,877.56 is: 4,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.84 : 17,463.94 = 2,877.56 : x
  2. Step 2: Convert to fraction form
    11,642.84/17,463.94 = 2,877.56/x
  3. Step 3: Cross multiply
    11,642.84x = 17,463.94 × 2,877.56
  4. Step 4: Simplify right side
    11,642.84x = 50,253,535.19
  5. Step 5: Solve for x
    x = 50,253,535.19/11,642.84
  6. Step 6: Final answer
    x = 4,316.26

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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.