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Finding the Fourth Proportional to 7,362.38, 10,160.09 and 4,218.77

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Solution

The fourth proportional to 7,362.38, 10,160.09 and 4,218.77 is: 5,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,362.38 : 10,160.09 = 4,218.77 : x
  2. Step 2: Convert to fraction form
    7,362.38/10,160.09 = 4,218.77/x
  3. Step 3: Cross multiply
    7,362.38x = 10,160.09 × 4,218.77
  4. Step 4: Simplify right side
    7,362.38x = 42,863,011.00
  5. Step 5: Solve for x
    x = 42,863,011.00/7,362.38
  6. Step 6: Final answer
    x = 5,821.90

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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.