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Finding the Fourth Proportional to 7,267.38, 10,029.05 and 4,123.63

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Solution

The fourth proportional to 7,267.38, 10,029.05 and 4,123.63 is: 5,690.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267.38 : 10,029.05 = 4,123.63 : x
  2. Step 2: Convert to fraction form
    7,267.38/10,029.05 = 4,123.63/x
  3. Step 3: Cross multiply
    7,267.38x = 10,029.05 × 4,123.63
  4. Step 4: Simplify right side
    7,267.38x = 41,356,091.45
  5. Step 5: Solve for x
    x = 41,356,091.45/7,267.38
  6. Step 6: Final answer
    x = 5,690.65

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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.