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Finding the Fourth Proportional to 12,164.06, 16,775.91 and 7,913.57

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Solution

The fourth proportional to 12,164.06, 16,775.91 and 7,913.57 is: 10,913.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164.06 : 16,775.91 = 7,913.57 : x
  2. Step 2: Convert to fraction form
    12,164.06/16,775.91 = 7,913.57/x
  3. Step 3: Cross multiply
    12,164.06x = 16,775.91 × 7,913.57
  4. Step 4: Simplify right side
    12,164.06x = 132,757,288.10
  5. Step 5: Solve for x
    x = 132,757,288.10/12,164.06
  6. Step 6: Final answer
    x = 10,913.90

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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.