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Finding the Fourth Proportional to 10,829.70, 14,942.88 and 6,113.34

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Solution

The fourth proportional to 10,829.70, 14,942.88 and 6,113.34 is: 8,435.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.70 : 14,942.88 = 6,113.34 : x
  2. Step 2: Convert to fraction form
    10,829.70/14,942.88 = 6,113.34/x
  3. Step 3: Cross multiply
    10,829.70x = 14,942.88 × 6,113.34
  4. Step 4: Simplify right side
    10,829.70x = 91,350,906.02
  5. Step 5: Solve for x
    x = 91,350,906.02/10,829.70
  6. Step 6: Final answer
    x = 8,435.22

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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.