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Finding the Fourth Proportional to 6,748.82, 10,129.70 and 3,288.50

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Solution

The fourth proportional to 6,748.82, 10,129.70 and 3,288.50 is: 4,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.82 : 10,129.70 = 3,288.50 : x
  2. Step 2: Convert to fraction form
    6,748.82/10,129.70 = 3,288.50/x
  3. Step 3: Cross multiply
    6,748.82x = 10,129.70 × 3,288.50
  4. Step 4: Simplify right side
    6,748.82x = 33,311,518.45
  5. Step 5: Solve for x
    x = 33,311,518.45/6,748.82
  6. Step 6: Final answer
    x = 4,935.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.