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Finding the Fourth Proportional to 11,816.10, 16,313.02 and 7,842.60

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Solution

The fourth proportional to 11,816.10, 16,313.02 and 7,842.60 is: 10,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.10 : 16,313.02 = 7,842.60 : x
  2. Step 2: Convert to fraction form
    11,816.10/16,313.02 = 7,842.60/x
  3. Step 3: Cross multiply
    11,816.10x = 16,313.02 × 7,842.60
  4. Step 4: Simplify right side
    11,816.10x = 127,936,490.65
  5. Step 5: Solve for x
    x = 127,936,490.65/11,816.10
  6. Step 6: Final answer
    x = 10,827.30

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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.