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Finding the Fourth Proportional to 6,403.68, 9,604.71 and 2,510.82

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Solution

The fourth proportional to 6,403.68, 9,604.71 and 2,510.82 is: 3,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.68 : 9,604.71 = 2,510.82 : x
  2. Step 2: Convert to fraction form
    6,403.68/9,604.71 = 2,510.82/x
  3. Step 3: Cross multiply
    6,403.68x = 9,604.71 × 2,510.82
  4. Step 4: Simplify right side
    6,403.68x = 24,115,697.96
  5. Step 5: Solve for x
    x = 24,115,697.96/6,403.68
  6. Step 6: Final answer
    x = 3,765.91

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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.