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Finding the Fourth Proportional to 11,662.80, 16,095.16 and 6,357.92

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Solution

The fourth proportional to 11,662.80, 16,095.16 and 6,357.92 is: 8,774.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.80 : 16,095.16 = 6,357.92 : x
  2. Step 2: Convert to fraction form
    11,662.80/16,095.16 = 6,357.92/x
  3. Step 3: Cross multiply
    11,662.80x = 16,095.16 × 6,357.92
  4. Step 4: Simplify right side
    11,662.80x = 102,331,739.67
  5. Step 5: Solve for x
    x = 102,331,739.67/11,662.80
  6. Step 6: Final answer
    x = 8,774.20

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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.