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Finding the Fourth Proportional to 11,876.46, 16,389.25 and 6,498.87

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Solution

The fourth proportional to 11,876.46, 16,389.25 and 6,498.87 is: 8,968.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.46 : 16,389.25 = 6,498.87 : x
  2. Step 2: Convert to fraction form
    11,876.46/16,389.25 = 6,498.87/x
  3. Step 3: Cross multiply
    11,876.46x = 16,389.25 × 6,498.87
  4. Step 4: Simplify right side
    11,876.46x = 106,511,572.30
  5. Step 5: Solve for x
    x = 106,511,572.30/11,876.46
  6. Step 6: Final answer
    x = 8,968.30

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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.