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Finding the Fourth Proportional to 7,377, 10,180.26 and 4,065

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Solution

The fourth proportional to 7,377, 10,180.26 and 4,065 is: 5,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377 : 10,180.26 = 4,065 : x
  2. Step 2: Convert to fraction form
    7,377/10,180.26 = 4,065/x
  3. Step 3: Cross multiply
    7,377x = 10,180.26 × 4,065
  4. Step 4: Simplify right side
    7,377x = 41,382,756.90
  5. Step 5: Solve for x
    x = 41,382,756.90/7,377
  6. Step 6: Final answer
    x = 5,609.70

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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.