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Finding the Fourth Proportional to 11,606.94, 16,017.60 and 6,301.80

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Solution

The fourth proportional to 11,606.94, 16,017.60 and 6,301.80 is: 8,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606.94 : 16,017.60 = 6,301.80 : x
  2. Step 2: Convert to fraction form
    11,606.94/16,017.60 = 6,301.80/x
  3. Step 3: Cross multiply
    11,606.94x = 16,017.60 × 6,301.80
  4. Step 4: Simplify right side
    11,606.94x = 100,939,711.68
  5. Step 5: Solve for x
    x = 100,939,711.68/11,606.94
  6. Step 6: Final answer
    x = 8,696.50

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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.