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Finding the Fourth Proportional to 11,785.56, 16,263.96 and 6,407.94

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Solution

The fourth proportional to 11,785.56, 16,263.96 and 6,407.94 is: 8,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.56 : 16,263.96 = 6,407.94 : x
  2. Step 2: Convert to fraction form
    11,785.56/16,263.96 = 6,407.94/x
  3. Step 3: Cross multiply
    11,785.56x = 16,263.96 × 6,407.94
  4. Step 4: Simplify right side
    11,785.56x = 104,218,479.84
  5. Step 5: Solve for x
    x = 104,218,479.84/11,785.56
  6. Step 6: Final answer
    x = 8,842.90

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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.