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Finding the Fourth Proportional to 8,431.97, 12,647.48 and 4,036.10

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Solution

The fourth proportional to 8,431.97, 12,647.48 and 4,036.10 is: 6,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.97 : 12,647.48 = 4,036.10 : x
  2. Step 2: Convert to fraction form
    8,431.97/12,647.48 = 4,036.10/x
  3. Step 3: Cross multiply
    8,431.97x = 12,647.48 × 4,036.10
  4. Step 4: Simplify right side
    8,431.97x = 51,046,410.61
  5. Step 5: Solve for x
    x = 51,046,410.61/8,431.97
  6. Step 6: Final answer
    x = 6,053.92

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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.