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Finding the Fourth Proportional to 7,665.77, 10,578.51 and 4,262.75

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Solution

The fourth proportional to 7,665.77, 10,578.51 and 4,262.75 is: 5,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.77 : 10,578.51 = 4,262.75 : x
  2. Step 2: Convert to fraction form
    7,665.77/10,578.51 = 4,262.75/x
  3. Step 3: Cross multiply
    7,665.77x = 10,578.51 × 4,262.75
  4. Step 4: Simplify right side
    7,665.77x = 45,093,577.79
  5. Step 5: Solve for x
    x = 45,093,577.79/7,665.77
  6. Step 6: Final answer
    x = 5,882.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.