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Finding the Fourth Proportional to 10,664.80, 15,983.60 and 5,984.80

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Solution

The fourth proportional to 10,664.80, 15,983.60 and 5,984.80 is: 8,969.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.80 : 15,983.60 = 5,984.80 : x
  2. Step 2: Convert to fraction form
    10,664.80/15,983.60 = 5,984.80/x
  3. Step 3: Cross multiply
    10,664.80x = 15,983.60 × 5,984.80
  4. Step 4: Simplify right side
    10,664.80x = 95,658,649.28
  5. Step 5: Solve for x
    x = 95,658,649.28/10,664.80
  6. Step 6: Final answer
    x = 8,969.57

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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.