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Finding the Fourth Proportional to 11,876.87, 16,390 and 6,571.57

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Solution

The fourth proportional to 11,876.87, 16,390 and 6,571.57 is: 9,068.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.87 : 16,390 = 6,571.57 : x
  2. Step 2: Convert to fraction form
    11,876.87/16,390 = 6,571.57/x
  3. Step 3: Cross multiply
    11,876.87x = 16,390 × 6,571.57
  4. Step 4: Simplify right side
    11,876.87x = 107,708,032.30
  5. Step 5: Solve for x
    x = 107,708,032.30/11,876.87
  6. Step 6: Final answer
    x = 9,068.72

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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.