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Finding the Fourth Proportional to 11,713.20, 16,164.08 and 6,407.96

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Solution

The fourth proportional to 11,713.20, 16,164.08 and 6,407.96 is: 8,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.20 : 16,164.08 = 6,407.96 : x
  2. Step 2: Convert to fraction form
    11,713.20/16,164.08 = 6,407.96/x
  3. Step 3: Cross multiply
    11,713.20x = 16,164.08 × 6,407.96
  4. Step 4: Simplify right side
    11,713.20x = 103,578,665.22
  5. Step 5: Solve for x
    x = 103,578,665.22/11,713.20
  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.