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Finding the Fourth Proportional to 7,854.10, 11,780.34 and 2,659.84

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Solution

The fourth proportional to 7,854.10, 11,780.34 and 2,659.84 is: 3,989.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.10 : 11,780.34 = 2,659.84 : x
  2. Step 2: Convert to fraction form
    7,854.10/11,780.34 = 2,659.84/x
  3. Step 3: Cross multiply
    7,854.10x = 11,780.34 × 2,659.84
  4. Step 4: Simplify right side
    7,854.10x = 31,333,819.55
  5. Step 5: Solve for x
    x = 31,333,819.55/7,854.10
  6. Step 6: Final answer
    x = 3,989.49

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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.