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Finding the Fourth Proportional to 11,606.86, 16,020.75 and 6,894.46

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Solution

The fourth proportional to 11,606.86, 16,020.75 and 6,894.46 is: 9,516.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.86 : 16,020.75 = 6,894.46 : x
  2. Step 2: Convert to fraction form
    11,606.86/16,020.75 = 6,894.46/x
  3. Step 3: Cross multiply
    11,606.86x = 16,020.75 × 6,894.46
  4. Step 4: Simplify right side
    11,606.86x = 110,454,420.05
  5. Step 5: Solve for x
    x = 110,454,420.05/11,606.86
  6. Step 6: Final answer
    x = 9,516.31

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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.