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Finding the Fourth Proportional to 7,708.70, 11,568.45 and 4,942.10

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Solution

The fourth proportional to 7,708.70, 11,568.45 and 4,942.10 is: 7,416.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708.70 : 11,568.45 = 4,942.10 : x
  2. Step 2: Convert to fraction form
    7,708.70/11,568.45 = 4,942.10/x
  3. Step 3: Cross multiply
    7,708.70x = 11,568.45 × 4,942.10
  4. Step 4: Simplify right side
    7,708.70x = 57,172,436.75
  5. Step 5: Solve for x
    x = 57,172,436.75/7,708.70
  6. Step 6: Final answer
    x = 7,416.61

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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.