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Finding the Fourth Proportional to 11,974.61, 16,535.39 and 7,506.05

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Solution

The fourth proportional to 11,974.61, 16,535.39 and 7,506.05 is: 10,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.61 : 16,535.39 = 7,506.05 : x
  2. Step 2: Convert to fraction form
    11,974.61/16,535.39 = 7,506.05/x
  3. Step 3: Cross multiply
    11,974.61x = 16,535.39 × 7,506.05
  4. Step 4: Simplify right side
    11,974.61x = 124,115,343.90
  5. Step 5: Solve for x
    x = 124,115,343.90/11,974.61
  6. Step 6: Final answer
    x = 10,364.88

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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.