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Finding the Fourth Proportional to 7,665.38, 10,578.52 and 4,682.56

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Solution

The fourth proportional to 7,665.38, 10,578.52 and 4,682.56 is: 6,462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.38 : 10,578.52 = 4,682.56 : x
  2. Step 2: Convert to fraction form
    7,665.38/10,578.52 = 4,682.56/x
  3. Step 3: Cross multiply
    7,665.38x = 10,578.52 × 4,682.56
  4. Step 4: Simplify right side
    7,665.38x = 49,534,554.61
  5. Step 5: Solve for x
    x = 49,534,554.61/7,665.38
  6. Step 6: Final answer
    x = 6,462.11

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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.