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Finding the Fourth Proportional to 11,149.76, 15,388.94 and 6,433.40

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Solution

The fourth proportional to 11,149.76, 15,388.94 and 6,433.40 is: 8,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.76 : 15,388.94 = 6,433.40 : x
  2. Step 2: Convert to fraction form
    11,149.76/15,388.94 = 6,433.40/x
  3. Step 3: Cross multiply
    11,149.76x = 15,388.94 × 6,433.40
  4. Step 4: Simplify right side
    11,149.76x = 99,003,206.60
  5. Step 5: Solve for x
    x = 99,003,206.60/11,149.76
  6. Step 6: Final answer
    x = 8,879.40

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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.