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Finding the Fourth Proportional to 10,713.15, 14,783.99 and 5,997.60

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Solution

The fourth proportional to 10,713.15, 14,783.99 and 5,997.60 is: 8,276.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.15 : 14,783.99 = 5,997.60 : x
  2. Step 2: Convert to fraction form
    10,713.15/14,783.99 = 5,997.60/x
  3. Step 3: Cross multiply
    10,713.15x = 14,783.99 × 5,997.60
  4. Step 4: Simplify right side
    10,713.15x = 88,668,428.44
  5. Step 5: Solve for x
    x = 88,668,428.44/10,713.15
  6. Step 6: Final answer
    x = 8,276.60

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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.