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Finding the Fourth Proportional to 7,768.80, 11,625.84 and 6,365.28

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Solution

The fourth proportional to 7,768.80, 11,625.84 and 6,365.28 is: 9,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.80 : 11,625.84 = 6,365.28 : x
  2. Step 2: Convert to fraction form
    7,768.80/11,625.84 = 6,365.28/x
  3. Step 3: Cross multiply
    7,768.80x = 11,625.84 × 6,365.28
  4. Step 4: Simplify right side
    7,768.80x = 74,001,726.84
  5. Step 5: Solve for x
    x = 74,001,726.84/7,768.80
  6. Step 6: Final answer
    x = 9,525.50

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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.