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Finding the Fourth Proportional to 11,642.72, 17,463.84 and 4,717.04

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Solution

The fourth proportional to 11,642.72, 17,463.84 and 4,717.04 is: 7,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.72 : 17,463.84 = 4,717.04 : x
  2. Step 2: Convert to fraction form
    11,642.72/17,463.84 = 4,717.04/x
  3. Step 3: Cross multiply
    11,642.72x = 17,463.84 × 4,717.04
  4. Step 4: Simplify right side
    11,642.72x = 82,377,631.83
  5. Step 5: Solve for x
    x = 82,377,631.83/11,642.72
  6. Step 6: Final answer
    x = 7,075.46

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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.