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Finding the Fourth Proportional to 7,751.25, 10,677.74 and 5,620.52

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Solution

The fourth proportional to 7,751.25, 10,677.74 and 5,620.52 is: 7,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.25 : 10,677.74 = 5,620.52 : x
  2. Step 2: Convert to fraction form
    7,751.25/10,677.74 = 5,620.52/x
  3. Step 3: Cross multiply
    7,751.25x = 10,677.74 × 5,620.52
  4. Step 4: Simplify right side
    7,751.25x = 60,014,491.97
  5. Step 5: Solve for x
    x = 60,014,491.97/7,751.25
  6. Step 6: Final answer
    x = 7,742.56

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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.