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Finding the Fourth Proportional to 7,089.35, 10,635.46 and 3,973.80

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Solution

The fourth proportional to 7,089.35, 10,635.46 and 3,973.80 is: 5,961.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.35 : 10,635.46 = 3,973.80 : x
  2. Step 2: Convert to fraction form
    7,089.35/10,635.46 = 3,973.80/x
  3. Step 3: Cross multiply
    7,089.35x = 10,635.46 × 3,973.80
  4. Step 4: Simplify right side
    7,089.35x = 42,263,190.95
  5. Step 5: Solve for x
    x = 42,263,190.95/7,089.35
  6. Step 6: Final answer
    x = 5,961.50

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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.