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Finding the Fourth Proportional to 7,310.75, 10,092.02 and 4,661.64

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Solution

The fourth proportional to 7,310.75, 10,092.02 and 4,661.64 is: 6,435.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.75 : 10,092.02 = 4,661.64 : x
  2. Step 2: Convert to fraction form
    7,310.75/10,092.02 = 4,661.64/x
  3. Step 3: Cross multiply
    7,310.75x = 10,092.02 × 4,661.64
  4. Step 4: Simplify right side
    7,310.75x = 47,045,340.80
  5. Step 5: Solve for x
    x = 47,045,340.80/7,310.75
  6. Step 6: Final answer
    x = 6,435.10

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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.