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Finding the Fourth Proportional to 10,969.87, 15,140.37 and 6,496.11

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Solution

The fourth proportional to 10,969.87, 15,140.37 and 6,496.11 is: 8,965.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.87 : 15,140.37 = 6,496.11 : x
  2. Step 2: Convert to fraction form
    10,969.87/15,140.37 = 6,496.11/x
  3. Step 3: Cross multiply
    10,969.87x = 15,140.37 × 6,496.11
  4. Step 4: Simplify right side
    10,969.87x = 98,353,508.96
  5. Step 5: Solve for x
    x = 98,353,508.96/10,969.87
  6. Step 6: Final answer
    x = 8,965.79

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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.