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Finding the Fourth Proportional to 7,752.25, 10,726.28 and 6,759.60

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Solution

The fourth proportional to 7,752.25, 10,726.28 and 6,759.60 is: 9,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.25 : 10,726.28 = 6,759.60 : x
  2. Step 2: Convert to fraction form
    7,752.25/10,726.28 = 6,759.60/x
  3. Step 3: Cross multiply
    7,752.25x = 10,726.28 × 6,759.60
  4. Step 4: Simplify right side
    7,752.25x = 72,505,362.29
  5. Step 5: Solve for x
    x = 72,505,362.29/7,752.25
  6. Step 6: Final answer
    x = 9,352.82

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