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Finding the Fourth Proportional to 11,403.42, 17,102.94 and 4,834.20

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Solution

The fourth proportional to 11,403.42, 17,102.94 and 4,834.20 is: 7,250.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.42 : 17,102.94 = 4,834.20 : x
  2. Step 2: Convert to fraction form
    11,403.42/17,102.94 = 4,834.20/x
  3. Step 3: Cross multiply
    11,403.42x = 17,102.94 × 4,834.20
  4. Step 4: Simplify right side
    11,403.42x = 82,679,032.55
  5. Step 5: Solve for x
    x = 82,679,032.55/11,403.42
  6. Step 6: Final answer
    x = 7,250.37

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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.