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Finding the Fourth Proportional to 7,777.92, 11,666.84 and 2,582.56

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Solution

The fourth proportional to 7,777.92, 11,666.84 and 2,582.56 is: 3,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.92 : 11,666.84 = 2,582.56 : x
  2. Step 2: Convert to fraction form
    7,777.92/11,666.84 = 2,582.56/x
  3. Step 3: Cross multiply
    7,777.92x = 11,666.84 × 2,582.56
  4. Step 4: Simplify right side
    7,777.92x = 30,130,314.31
  5. Step 5: Solve for x
    x = 30,130,314.31/7,777.92
  6. Step 6: Final answer
    x = 3,873.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.