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Finding the Fourth Proportional to 7,924.50, 11,883.87 and 3,539.70

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Solution

The fourth proportional to 7,924.50, 11,883.87 and 3,539.70 is: 5,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.50 : 11,883.87 = 3,539.70 : x
  2. Step 2: Convert to fraction form
    7,924.50/11,883.87 = 3,539.70/x
  3. Step 3: Cross multiply
    7,924.50x = 11,883.87 × 3,539.70
  4. Step 4: Simplify right side
    7,924.50x = 42,065,334.64
  5. Step 5: Solve for x
    x = 42,065,334.64/7,924.50
  6. Step 6: Final answer
    x = 5,308.26

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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.