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Finding the Fourth Proportional to 7,665.74, 10,578.81 and 4,640.82

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Solution

The fourth proportional to 7,665.74, 10,578.81 and 4,640.82 is: 6,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.74 : 10,578.81 = 4,640.82 : x
  2. Step 2: Convert to fraction form
    7,665.74/10,578.81 = 4,640.82/x
  3. Step 3: Cross multiply
    7,665.74x = 10,578.81 × 4,640.82
  4. Step 4: Simplify right side
    7,665.74x = 49,094,330.76
  5. Step 5: Solve for x
    x = 49,094,330.76/7,665.74
  6. Step 6: Final answer
    x = 6,404.38

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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.