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Finding the Fourth Proportional to 7,775.50, 10,733.52 and 5,261.08

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Solution

The fourth proportional to 7,775.50, 10,733.52 and 5,261.08 is: 7,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.50 : 10,733.52 = 5,261.08 : x
  2. Step 2: Convert to fraction form
    7,775.50/10,733.52 = 5,261.08/x
  3. Step 3: Cross multiply
    7,775.50x = 10,733.52 × 5,261.08
  4. Step 4: Simplify right side
    7,775.50x = 56,469,907.40
  5. Step 5: Solve for x
    x = 56,469,907.40/7,775.50
  6. Step 6: Final answer
    x = 7,262.54

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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.