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Finding the Fourth Proportional to 10,817.64, 14,928.34 and 5,849.64

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Solution

The fourth proportional to 10,817.64, 14,928.34 and 5,849.64 is: 8,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,817.64 : 14,928.34 = 5,849.64 : x
  2. Step 2: Convert to fraction form
    10,817.64/14,928.34 = 5,849.64/x
  3. Step 3: Cross multiply
    10,817.64x = 14,928.34 × 5,849.64
  4. Step 4: Simplify right side
    10,817.64x = 87,325,414.80
  5. Step 5: Solve for x
    x = 87,325,414.80/10,817.64
  6. Step 6: Final answer
    x = 8,072.50

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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.