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Finding the Fourth Proportional to 7,770.80, 11,628.84 and 6,367.28

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Solution

The fourth proportional to 7,770.80, 11,628.84 and 6,367.28 is: 9,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.80 : 11,628.84 = 6,367.28 : x
  2. Step 2: Convert to fraction form
    7,770.80/11,628.84 = 6,367.28/x
  3. Step 3: Cross multiply
    7,770.80x = 11,628.84 × 6,367.28
  4. Step 4: Simplify right side
    7,770.80x = 74,044,080.36
  5. Step 5: Solve for x
    x = 74,044,080.36/7,770.80
  6. Step 6: Final answer
    x = 9,528.50

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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.