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Finding the Fourth Proportional to 11,874.46, 16,387.96 and 6,569.68

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Solution

The fourth proportional to 11,874.46, 16,387.96 and 6,569.68 is: 9,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.46 : 16,387.96 = 6,569.68 : x
  2. Step 2: Convert to fraction form
    11,874.46/16,387.96 = 6,569.68/x
  3. Step 3: Cross multiply
    11,874.46x = 16,387.96 × 6,569.68
  4. Step 4: Simplify right side
    11,874.46x = 107,663,653.05
  5. Step 5: Solve for x
    x = 107,663,653.05/11,874.46
  6. Step 6: Final answer
    x = 9,066.83

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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.