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Finding the Fourth Proportional to 7,133.10, 9,842.66 and 4,481.38

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Solution

The fourth proportional to 7,133.10, 9,842.66 and 4,481.38 is: 6,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.10 : 9,842.66 = 4,481.38 : x
  2. Step 2: Convert to fraction form
    7,133.10/9,842.66 = 4,481.38/x
  3. Step 3: Cross multiply
    7,133.10x = 9,842.66 × 4,481.38
  4. Step 4: Simplify right side
    7,133.10x = 44,108,699.67
  5. Step 5: Solve for x
    x = 44,108,699.67/7,133.10
  6. Step 6: Final answer
    x = 6,183.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.