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Finding the Fourth Proportional to 11,673.36, 17,510.04 and 3,882.16

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Solution

The fourth proportional to 11,673.36, 17,510.04 and 3,882.16 is: 5,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.36 : 17,510.04 = 3,882.16 : x
  2. Step 2: Convert to fraction form
    11,673.36/17,510.04 = 3,882.16/x
  3. Step 3: Cross multiply
    11,673.36x = 17,510.04 × 3,882.16
  4. Step 4: Simplify right side
    11,673.36x = 67,976,776.89
  5. Step 5: Solve for x
    x = 67,976,776.89/11,673.36
  6. Step 6: Final answer
    x = 5,823.24

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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.