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Finding the Fourth Proportional to 7,741.30, 10,682.49 and 4,946.50

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Solution

The fourth proportional to 7,741.30, 10,682.49 and 4,946.50 is: 6,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.30 : 10,682.49 = 4,946.50 : x
  2. Step 2: Convert to fraction form
    7,741.30/10,682.49 = 4,946.50/x
  3. Step 3: Cross multiply
    7,741.30x = 10,682.49 × 4,946.50
  4. Step 4: Simplify right side
    7,741.30x = 52,840,936.79
  5. Step 5: Solve for x
    x = 52,840,936.79/7,741.30
  6. Step 6: Final answer
    x = 6,825.85

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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.