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Finding the Fourth Proportional to 7,193.67, 10,788.24 and 3,032.91

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Solution

The fourth proportional to 7,193.67, 10,788.24 and 3,032.91 is: 4,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.67 : 10,788.24 = 3,032.91 : x
  2. Step 2: Convert to fraction form
    7,193.67/10,788.24 = 3,032.91/x
  3. Step 3: Cross multiply
    7,193.67x = 10,788.24 × 3,032.91
  4. Step 4: Simplify right side
    7,193.67x = 32,719,760.98
  5. Step 5: Solve for x
    x = 32,719,760.98/7,193.67
  6. Step 6: Final answer
    x = 4,548.41

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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.