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Finding the Fourth Proportional to 7,577.73, 10,451.34 and 4,926

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Solution

The fourth proportional to 7,577.73, 10,451.34 and 4,926 is: 6,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.73 : 10,451.34 = 4,926 : x
  2. Step 2: Convert to fraction form
    7,577.73/10,451.34 = 4,926/x
  3. Step 3: Cross multiply
    7,577.73x = 10,451.34 × 4,926
  4. Step 4: Simplify right side
    7,577.73x = 51,483,300.84
  5. Step 5: Solve for x
    x = 51,483,300.84/7,577.73
  6. Step 6: Final answer
    x = 6,794.03

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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.