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Finding the Fourth Proportional to 6,479.31, 9,712.80 and 2,533.10

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Solution

The fourth proportional to 6,479.31, 9,712.80 and 2,533.10 is: 3,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.31 : 9,712.80 = 2,533.10 : x
  2. Step 2: Convert to fraction form
    6,479.31/9,712.80 = 2,533.10/x
  3. Step 3: Cross multiply
    6,479.31x = 9,712.80 × 2,533.10
  4. Step 4: Simplify right side
    6,479.31x = 24,603,475.73
  5. Step 5: Solve for x
    x = 24,603,475.73/6,479.31
  6. Step 6: Final answer
    x = 3,797.24

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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.