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Finding the Fourth Proportional to 7,157.66, 10,735.81 and 4,382.91

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Solution

The fourth proportional to 7,157.66, 10,735.81 and 4,382.91 is: 6,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.66 : 10,735.81 = 4,382.91 : x
  2. Step 2: Convert to fraction form
    7,157.66/10,735.81 = 4,382.91/x
  3. Step 3: Cross multiply
    7,157.66x = 10,735.81 × 4,382.91
  4. Step 4: Simplify right side
    7,157.66x = 47,054,078.05
  5. Step 5: Solve for x
    x = 47,054,078.05/7,157.66
  6. Step 6: Final answer
    x = 6,573.95

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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.