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Finding the Fourth Proportional to 7,386.82, 10,193.90 and 4,029.61

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Solution

The fourth proportional to 7,386.82, 10,193.90 and 4,029.61 is: 5,560.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.82 : 10,193.90 = 4,029.61 : x
  2. Step 2: Convert to fraction form
    7,386.82/10,193.90 = 4,029.61/x
  3. Step 3: Cross multiply
    7,386.82x = 10,193.90 × 4,029.61
  4. Step 4: Simplify right side
    7,386.82x = 41,077,441.38
  5. Step 5: Solve for x
    x = 41,077,441.38/7,386.82
  6. Step 6: Final answer
    x = 5,560.91

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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.