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Finding the Fourth Proportional to 7,537.65, 10,401.94 and 4,180.38

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Solution

The fourth proportional to 7,537.65, 10,401.94 and 4,180.38 is: 5,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,537.65 : 10,401.94 = 4,180.38 : x
  2. Step 2: Convert to fraction form
    7,537.65/10,401.94 = 4,180.38/x
  3. Step 3: Cross multiply
    7,537.65x = 10,401.94 × 4,180.38
  4. Step 4: Simplify right side
    7,537.65x = 43,484,061.94
  5. Step 5: Solve for x
    x = 43,484,061.94/7,537.65
  6. Step 6: Final answer
    x = 5,768.91

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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.