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Finding the Fourth Proportional to 7,972.02, 11,953.53 and 3,813.03

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Solution

The fourth proportional to 7,972.02, 11,953.53 and 3,813.03 is: 5,717.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.02 : 11,953.53 = 3,813.03 : x
  2. Step 2: Convert to fraction form
    7,972.02/11,953.53 = 3,813.03/x
  3. Step 3: Cross multiply
    7,972.02x = 11,953.53 × 3,813.03
  4. Step 4: Simplify right side
    7,972.02x = 45,579,168.50
  5. Step 5: Solve for x
    x = 45,579,168.50/7,972.02
  6. Step 6: Final answer
    x = 5,717.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.