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Finding the Fourth Proportional to 7,777.46, 11,665.94 and 1,934.06

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Solution

The fourth proportional to 7,777.46, 11,665.94 and 1,934.06 is: 2,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.46 : 11,665.94 = 1,934.06 : x
  2. Step 2: Convert to fraction form
    7,777.46/11,665.94 = 1,934.06/x
  3. Step 3: Cross multiply
    7,777.46x = 11,665.94 × 1,934.06
  4. Step 4: Simplify right side
    7,777.46x = 22,562,627.92
  5. Step 5: Solve for x
    x = 22,562,627.92/7,777.46
  6. Step 6: Final answer
    x = 2,901.03

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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.