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Finding the Fourth Proportional to 11,874.12, 16,386.04 and 6,568.80

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Solution

The fourth proportional to 11,874.12, 16,386.04 and 6,568.80 is: 9,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.12 : 16,386.04 = 6,568.80 : x
  2. Step 2: Convert to fraction form
    11,874.12/16,386.04 = 6,568.80/x
  3. Step 3: Cross multiply
    11,874.12x = 16,386.04 × 6,568.80
  4. Step 4: Simplify right side
    11,874.12x = 107,636,619.55
  5. Step 5: Solve for x
    x = 107,636,619.55/11,874.12
  6. Step 6: Final answer
    x = 9,064.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.