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Finding the Fourth Proportional to 8,431.60, 12,647.40 and 4,046.80

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Solution

The fourth proportional to 8,431.60, 12,647.40 and 4,046.80 is: 6,070.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.60 : 12,647.40 = 4,046.80 : x
  2. Step 2: Convert to fraction form
    8,431.60/12,647.40 = 4,046.80/x
  3. Step 3: Cross multiply
    8,431.60x = 12,647.40 × 4,046.80
  4. Step 4: Simplify right side
    8,431.60x = 51,181,498.32
  5. Step 5: Solve for x
    x = 51,181,498.32/8,431.60
  6. Step 6: Final answer
    x = 6,070.20

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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.