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Finding the Fourth Proportional to 11,639.50, 16,065.90 and 7,606.91

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Solution

The fourth proportional to 11,639.50, 16,065.90 and 7,606.91 is: 10,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,639.50 : 16,065.90 = 7,606.91 : x
  2. Step 2: Convert to fraction form
    11,639.50/16,065.90 = 7,606.91/x
  3. Step 3: Cross multiply
    11,639.50x = 16,065.90 × 7,606.91
  4. Step 4: Simplify right side
    11,639.50x = 122,211,867.01
  5. Step 5: Solve for x
    x = 122,211,867.01/11,639.50
  6. Step 6: Final answer
    x = 10,499.75

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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.