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Finding the Fourth Proportional to 10,969.68, 15,137.88 and 6,493.50

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Solution

The fourth proportional to 10,969.68, 15,137.88 and 6,493.50 is: 8,960.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.68 : 15,137.88 = 6,493.50 : x
  2. Step 2: Convert to fraction form
    10,969.68/15,137.88 = 6,493.50/x
  3. Step 3: Cross multiply
    10,969.68x = 15,137.88 × 6,493.50
  4. Step 4: Simplify right side
    10,969.68x = 98,297,823.78
  5. Step 5: Solve for x
    x = 98,297,823.78/10,969.68
  6. Step 6: Final answer
    x = 8,960.87

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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.