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Finding the Fourth Proportional to 7,182.94, 10,777.65 and 3,670.78

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Solution

The fourth proportional to 7,182.94, 10,777.65 and 3,670.78 is: 5,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.94 : 10,777.65 = 3,670.78 : x
  2. Step 2: Convert to fraction form
    7,182.94/10,777.65 = 3,670.78/x
  3. Step 3: Cross multiply
    7,182.94x = 10,777.65 × 3,670.78
  4. Step 4: Simplify right side
    7,182.94x = 39,562,382.07
  5. Step 5: Solve for x
    x = 39,562,382.07/7,182.94
  6. Step 6: Final answer
    x = 5,507.83

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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.