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Finding the Fourth Proportional to 12,063.25, 16,647.33 and 7,871.50

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Solution

The fourth proportional to 12,063.25, 16,647.33 and 7,871.50 is: 10,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,063.25 : 16,647.33 = 7,871.50 : x
  2. Step 2: Convert to fraction form
    12,063.25/16,647.33 = 7,871.50/x
  3. Step 3: Cross multiply
    12,063.25x = 16,647.33 × 7,871.50
  4. Step 4: Simplify right side
    12,063.25x = 131,039,458.10
  5. Step 5: Solve for x
    x = 131,039,458.10/12,063.25
  6. Step 6: Final answer
    x = 10,862.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.