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Finding the Fourth Proportional to 8,431.02, 12,643.02 and 2,883.24

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Solution

The fourth proportional to 8,431.02, 12,643.02 and 2,883.24 is: 4,323.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.02 : 12,643.02 = 2,883.24 : x
  2. Step 2: Convert to fraction form
    8,431.02/12,643.02 = 2,883.24/x
  3. Step 3: Cross multiply
    8,431.02x = 12,643.02 × 2,883.24
  4. Step 4: Simplify right side
    8,431.02x = 36,452,860.98
  5. Step 5: Solve for x
    x = 36,452,860.98/8,431.02
  6. Step 6: Final answer
    x = 4,323.66

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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.