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Finding the Fourth Proportional to 7,103.66, 10,653.17 and 3,354.85

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Solution

The fourth proportional to 7,103.66, 10,653.17 and 3,354.85 is: 5,031.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.66 : 10,653.17 = 3,354.85 : x
  2. Step 2: Convert to fraction form
    7,103.66/10,653.17 = 3,354.85/x
  3. Step 3: Cross multiply
    7,103.66x = 10,653.17 × 3,354.85
  4. Step 4: Simplify right side
    7,103.66x = 35,739,829.05
  5. Step 5: Solve for x
    x = 35,739,829.05/7,103.66
  6. Step 6: Final answer
    x = 5,031.19

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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.