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Finding the Fourth Proportional to 7,774.25, 10,738.37 and 5,426.87

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Solution

The fourth proportional to 7,774.25, 10,738.37 and 5,426.87 is: 7,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.25 : 10,738.37 = 5,426.87 : x
  2. Step 2: Convert to fraction form
    7,774.25/10,738.37 = 5,426.87/x
  3. Step 3: Cross multiply
    7,774.25x = 10,738.37 × 5,426.87
  4. Step 4: Simplify right side
    7,774.25x = 58,275,697.88
  5. Step 5: Solve for x
    x = 58,275,697.88/7,774.25
  6. Step 6: Final answer
    x = 7,495.99

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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.