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Finding the Fourth Proportional to 11,874.97, 16,387.35 and 6,569.67

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Solution

The fourth proportional to 11,874.97, 16,387.35 and 6,569.67 is: 9,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.97 : 16,387.35 = 6,569.67 : x
  2. Step 2: Convert to fraction form
    11,874.97/16,387.35 = 6,569.67/x
  3. Step 3: Cross multiply
    11,874.97x = 16,387.35 × 6,569.67
  4. Step 4: Simplify right side
    11,874.97x = 107,659,481.67
  5. Step 5: Solve for x
    x = 107,659,481.67/11,874.97
  6. Step 6: Final answer
    x = 9,066.08

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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.