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Finding the Fourth Proportional to 7,577.82, 10,455.75 and 4,593.78

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Solution

The fourth proportional to 7,577.82, 10,455.75 and 4,593.78 is: 6,338.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.82 : 10,455.75 = 4,593.78 : x
  2. Step 2: Convert to fraction form
    7,577.82/10,455.75 = 4,593.78/x
  3. Step 3: Cross multiply
    7,577.82x = 10,455.75 × 4,593.78
  4. Step 4: Simplify right side
    7,577.82x = 48,031,415.24
  5. Step 5: Solve for x
    x = 48,031,415.24/7,577.82
  6. Step 6: Final answer
    x = 6,338.42

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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.