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Finding the Fourth Proportional to 7,880.30, 11,820.42 and 2,333.68

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Solution

The fourth proportional to 7,880.30, 11,820.42 and 2,333.68 is: 3,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880.30 : 11,820.42 = 2,333.68 : x
  2. Step 2: Convert to fraction form
    7,880.30/11,820.42 = 2,333.68/x
  3. Step 3: Cross multiply
    7,880.30x = 11,820.42 × 2,333.68
  4. Step 4: Simplify right side
    7,880.30x = 27,585,077.75
  5. Step 5: Solve for x
    x = 27,585,077.75/7,880.30
  6. Step 6: Final answer
    x = 3,500.51

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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.