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Finding the Fourth Proportional to 11,511.08, 15,880.78 and 6,474.14

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Solution

The fourth proportional to 11,511.08, 15,880.78 and 6,474.14 is: 8,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.08 : 15,880.78 = 6,474.14 : x
  2. Step 2: Convert to fraction form
    11,511.08/15,880.78 = 6,474.14/x
  3. Step 3: Cross multiply
    11,511.08x = 15,880.78 × 6,474.14
  4. Step 4: Simplify right side
    11,511.08x = 102,814,448.92
  5. Step 5: Solve for x
    x = 102,814,448.92/11,511.08
  6. Step 6: Final answer
    x = 8,931.79

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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.