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Finding the Fourth Proportional to 7,741.65, 10,682.51 and 6,410.01

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Solution

The fourth proportional to 7,741.65, 10,682.51 and 6,410.01 is: 8,845.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.65 : 10,682.51 = 6,410.01 : x
  2. Step 2: Convert to fraction form
    7,741.65/10,682.51 = 6,410.01/x
  3. Step 3: Cross multiply
    7,741.65x = 10,682.51 × 6,410.01
  4. Step 4: Simplify right side
    7,741.65x = 68,474,963.88
  5. Step 5: Solve for x
    x = 68,474,963.88/7,741.65
  6. Step 6: Final answer
    x = 8,845.01

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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.