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Finding the Fourth Proportional to 10,976.40, 16,444.08 and 8,625.60

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Solution

The fourth proportional to 10,976.40, 16,444.08 and 8,625.60 is: 12,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976.40 : 16,444.08 = 8,625.60 : x
  2. Step 2: Convert to fraction form
    10,976.40/16,444.08 = 8,625.60/x
  3. Step 3: Cross multiply
    10,976.40x = 16,444.08 × 8,625.60
  4. Step 4: Simplify right side
    10,976.40x = 141,840,056.45
  5. Step 5: Solve for x
    x = 141,840,056.45/10,976.40
  6. Step 6: Final answer
    x = 12,922.27

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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.