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Finding the Fourth Proportional to 11,876.96, 16,390.14 and 6,571.46

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Solution

The fourth proportional to 11,876.96, 16,390.14 and 6,571.46 is: 9,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.96 : 16,390.14 = 6,571.46 : x
  2. Step 2: Convert to fraction form
    11,876.96/16,390.14 = 6,571.46/x
  3. Step 3: Cross multiply
    11,876.96x = 16,390.14 × 6,571.46
  4. Step 4: Simplify right side
    11,876.96x = 107,707,149.40
  5. Step 5: Solve for x
    x = 107,707,149.40/11,876.96
  6. Step 6: Final answer
    x = 9,068.58

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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.