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Finding the Fourth Proportional to 11,876.94, 16,389.99 and 6,499.51

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Solution

The fourth proportional to 11,876.94, 16,389.99 and 6,499.51 is: 8,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,876.94 : 16,389.99 = 6,499.51 : x
  2. Step 2: Convert to fraction form
    11,876.94/16,389.99 = 6,499.51/x
  3. Step 3: Cross multiply
    11,876.94x = 16,389.99 × 6,499.51
  4. Step 4: Simplify right side
    11,876.94x = 106,526,862.93
  5. Step 5: Solve for x
    x = 106,526,862.93/11,876.94
  6. Step 6: Final answer
    x = 8,969.22

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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.