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Finding the Fourth Proportional to 8,431.40, 12,647.52 and 2,884.52

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Solution

The fourth proportional to 8,431.40, 12,647.52 and 2,884.52 is: 4,326.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.40 : 12,647.52 = 2,884.52 : x
  2. Step 2: Convert to fraction form
    8,431.40/12,647.52 = 2,884.52/x
  3. Step 3: Cross multiply
    8,431.40x = 12,647.52 × 2,884.52
  4. Step 4: Simplify right side
    8,431.40x = 36,482,024.39
  5. Step 5: Solve for x
    x = 36,482,024.39/8,431.40
  6. Step 6: Final answer
    x = 4,326.92

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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.