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Finding the Fourth Proportional to 11,315.46, 16,973.16 and 6,382.86

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Solution

The fourth proportional to 11,315.46, 16,973.16 and 6,382.86 is: 9,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.46 : 16,973.16 = 6,382.86 : x
  2. Step 2: Convert to fraction form
    11,315.46/16,973.16 = 6,382.86/x
  3. Step 3: Cross multiply
    11,315.46x = 16,973.16 × 6,382.86
  4. Step 4: Simplify right side
    11,315.46x = 108,337,304.04
  5. Step 5: Solve for x
    x = 108,337,304.04/11,315.46
  6. Step 6: Final answer
    x = 9,574.27

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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.