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Finding the Fourth Proportional to 11,892.68, 16,411.20 and 6,514.05

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Solution

The fourth proportional to 11,892.68, 16,411.20 and 6,514.05 is: 8,989.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.68 : 16,411.20 = 6,514.05 : x
  2. Step 2: Convert to fraction form
    11,892.68/16,411.20 = 6,514.05/x
  3. Step 3: Cross multiply
    11,892.68x = 16,411.20 × 6,514.05
  4. Step 4: Simplify right side
    11,892.68x = 106,903,325.10
  5. Step 5: Solve for x
    x = 106,903,325.10/11,892.68
  6. Step 6: Final answer
    x = 8,989.00

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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.