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Finding the Fourth Proportional to 11,661.56, 16,095.82 and 9,004.92

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Solution

The fourth proportional to 11,661.56, 16,095.82 and 9,004.92 is: 12,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.56 : 16,095.82 = 9,004.92 : x
  2. Step 2: Convert to fraction form
    11,661.56/16,095.82 = 9,004.92/x
  3. Step 3: Cross multiply
    11,661.56x = 16,095.82 × 9,004.92
  4. Step 4: Simplify right side
    11,661.56x = 144,941,571.43
  5. Step 5: Solve for x
    x = 144,941,571.43/11,661.56
  6. Step 6: Final answer
    x = 12,429.00

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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.