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Finding the Fourth Proportional to 6,208.48, 9,311.80 and 2,510.63

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Solution

The fourth proportional to 6,208.48, 9,311.80 and 2,510.63 is: 3,765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.48 : 9,311.80 = 2,510.63 : x
  2. Step 2: Convert to fraction form
    6,208.48/9,311.80 = 2,510.63/x
  3. Step 3: Cross multiply
    6,208.48x = 9,311.80 × 2,510.63
  4. Step 4: Simplify right side
    6,208.48x = 23,378,484.43
  5. Step 5: Solve for x
    x = 23,378,484.43/6,208.48
  6. Step 6: Final answer
    x = 3,765.57

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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.