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Finding the Fourth Proportional to 7,862.72, 11,797.94 and 3,703.14

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Solution

The fourth proportional to 7,862.72, 11,797.94 and 3,703.14 is: 5,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.72 : 11,797.94 = 3,703.14 : x
  2. Step 2: Convert to fraction form
    7,862.72/11,797.94 = 3,703.14/x
  3. Step 3: Cross multiply
    7,862.72x = 11,797.94 × 3,703.14
  4. Step 4: Simplify right side
    7,862.72x = 43,689,423.53
  5. Step 5: Solve for x
    x = 43,689,423.53/7,862.72
  6. Step 6: Final answer
    x = 5,556.53

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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.