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Finding the Fourth Proportional to 8,431.52, 12,643.77 and 2,883.74

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Solution

The fourth proportional to 8,431.52, 12,643.77 and 2,883.74 is: 4,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.52 : 12,643.77 = 2,883.74 : x
  2. Step 2: Convert to fraction form
    8,431.52/12,643.77 = 2,883.74/x
  3. Step 3: Cross multiply
    8,431.52x = 12,643.77 × 2,883.74
  4. Step 4: Simplify right side
    8,431.52x = 36,461,345.30
  5. Step 5: Solve for x
    x = 36,461,345.30/8,431.52
  6. Step 6: Final answer
    x = 4,324.41

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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.