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Finding the Fourth Proportional to 11,833.13, 16,334.91 and 7,857.65

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Solution

The fourth proportional to 11,833.13, 16,334.91 and 7,857.65 is: 10,847.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.13 : 16,334.91 = 7,857.65 : x
  2. Step 2: Convert to fraction form
    11,833.13/16,334.91 = 7,857.65/x
  3. Step 3: Cross multiply
    11,833.13x = 16,334.91 × 7,857.65
  4. Step 4: Simplify right side
    11,833.13x = 128,354,046.40
  5. Step 5: Solve for x
    x = 128,354,046.40/11,833.13
  6. Step 6: Final answer
    x = 10,847.00

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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.