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Finding the Fourth Proportional to 7,086.70, 9,780.29 and 3,900.63

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Solution

The fourth proportional to 7,086.70, 9,780.29 and 3,900.63 is: 5,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.70 : 9,780.29 = 3,900.63 : x
  2. Step 2: Convert to fraction form
    7,086.70/9,780.29 = 3,900.63/x
  3. Step 3: Cross multiply
    7,086.70x = 9,780.29 × 3,900.63
  4. Step 4: Simplify right side
    7,086.70x = 38,149,292.58
  5. Step 5: Solve for x
    x = 38,149,292.58/7,086.70
  6. Step 6: Final answer
    x = 5,383.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.