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Finding the Fourth Proportional to 11,876.33, 16,389.20 and 6,498.72

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Solution

The fourth proportional to 11,876.33, 16,389.20 and 6,498.72 is: 8,968.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.33 : 16,389.20 = 6,498.72 : x
  2. Step 2: Convert to fraction form
    11,876.33/16,389.20 = 6,498.72/x
  3. Step 3: Cross multiply
    11,876.33x = 16,389.20 × 6,498.72
  4. Step 4: Simplify right side
    11,876.33x = 106,508,821.82
  5. Step 5: Solve for x
    x = 106,508,821.82/11,876.33
  6. Step 6: Final answer
    x = 8,968.16

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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.