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Finding the Fourth Proportional to 10,969.54, 15,137.97 and 6,190.50

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Solution

The fourth proportional to 10,969.54, 15,137.97 and 6,190.50 is: 8,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.54 : 15,137.97 = 6,190.50 : x
  2. Step 2: Convert to fraction form
    10,969.54/15,137.97 = 6,190.50/x
  3. Step 3: Cross multiply
    10,969.54x = 15,137.97 × 6,190.50
  4. Step 4: Simplify right side
    10,969.54x = 93,711,603.29
  5. Step 5: Solve for x
    x = 93,711,603.29/10,969.54
  6. Step 6: Final answer
    x = 8,542.89

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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.