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Finding the Fourth Proportional to 7,858.62, 11,785.50 and 2,310.57

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Solution

The fourth proportional to 7,858.62, 11,785.50 and 2,310.57 is: 3,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.62 : 11,785.50 = 2,310.57 : x
  2. Step 2: Convert to fraction form
    7,858.62/11,785.50 = 2,310.57/x
  3. Step 3: Cross multiply
    7,858.62x = 11,785.50 × 2,310.57
  4. Step 4: Simplify right side
    7,858.62x = 27,231,222.74
  5. Step 5: Solve for x
    x = 27,231,222.74/7,858.62
  6. Step 6: Final answer
    x = 3,465.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.