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Finding the Fourth Proportional to 10,192.65, 14,059.89 and 6,409.83

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Solution

The fourth proportional to 10,192.65, 14,059.89 and 6,409.83 is: 8,841.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.65 : 14,059.89 = 6,409.83 : x
  2. Step 2: Convert to fraction form
    10,192.65/14,059.89 = 6,409.83/x
  3. Step 3: Cross multiply
    10,192.65x = 14,059.89 × 6,409.83
  4. Step 4: Simplify right side
    10,192.65x = 90,121,504.72
  5. Step 5: Solve for x
    x = 90,121,504.72/10,192.65
  6. Step 6: Final answer
    x = 8,841.81

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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.