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Finding the Fourth Proportional to 11,688.06, 16,128.93 and 6,381.86

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Solution

The fourth proportional to 11,688.06, 16,128.93 and 6,381.86 is: 8,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.06 : 16,128.93 = 6,381.86 : x
  2. Step 2: Convert to fraction form
    11,688.06/16,128.93 = 6,381.86/x
  3. Step 3: Cross multiply
    11,688.06x = 16,128.93 × 6,381.86
  4. Step 4: Simplify right side
    11,688.06x = 102,932,573.21
  5. Step 5: Solve for x
    x = 102,932,573.21/11,688.06
  6. Step 6: Final answer
    x = 8,806.64

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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.