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Finding the Fourth Proportional to 7,808.72, 10,782.60 and 5,577.44

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Solution

The fourth proportional to 7,808.72, 10,782.60 and 5,577.44 is: 7,701.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.72 : 10,782.60 = 5,577.44 : x
  2. Step 2: Convert to fraction form
    7,808.72/10,782.60 = 5,577.44/x
  3. Step 3: Cross multiply
    7,808.72x = 10,782.60 × 5,577.44
  4. Step 4: Simplify right side
    7,808.72x = 60,139,304.54
  5. Step 5: Solve for x
    x = 60,139,304.54/7,808.72
  6. Step 6: Final answer
    x = 7,701.56

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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.